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740721421440 = 2733571121317229
BaseRepresentation
bin10101100011101100110…
…11111110110010000000
32121210221011000221102000
422301312123332302000
544113444140441230
61324141022424000
7104341524124560
oct12616633766200
92553834027360
10740721421440
11266157a28300
12bb682132000
1354b07b1bca0
1427bcb624da0
1514404093b60
hexac766fec80

740721421440 has 3072 divisors, whose sum is σ = 3774169728000. Its totient is φ = 133135073280.

The previous prime is 740721421387. The next prime is 740721421441. The reversal of 740721421440 is 44124127047.

740721421440 is a `hidden beast` number, since 7 + 4 + 0 + 72 + 142 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 740721421395 and 740721421404.

It is not an unprimeable number, because it can be changed into a prime (740721421441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3234591246 + ... + 3234591474.

It is an arithmetic number, because the mean of its divisors is an integer number (1228570875).

Almost surely, 2740721421440 is an apocalyptic number.

740721421440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740721421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887084864000).

740721421440 is an abundant number, since it is smaller than the sum of its proper divisors (3033448306560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

740721421440 is a wasteful number, since it uses less digits than its factorization.

740721421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 740721421440 its reverse (44124127047), we get a palindrome (784845548487).

The spelling of 740721421440 in words is "seven hundred forty billion, seven hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".