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494451397440 = 2634571113171959
BaseRepresentation
bin1110011000111111001…
…10011001001101000000
31202021021011112111110000
413030133212121031000
531100114024204230
61015051533240000
750502652350450
oct7143746311500
91667234474400
10494451397440
11180771a18250
127b9b2933000
133781b74aab0
1419d08357d60
15ccdd962b60
hex731f999340

494451397440 has 4480 divisors, whose sum is σ = 2676660940800. Its totient is φ = 83129794560.

The previous prime is 494451397409. The next prime is 494451397441. The reversal of 494451397440 is 44793154494.

It is a happy number.

494451397440 is a `hidden beast` number, since 4 + 94 + 451 + 39 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494451397441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8380532131 + ... + 8380532189.

It is an arithmetic number, because the mean of its divisors is an integer number (597468960).

Almost surely, 2494451397440 is an apocalyptic number.

494451397440 is a gapful number since it is divisible by the number (40) 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 494451397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338330470400).

494451397440 is an abundant number, since it is smaller than the sum of its proper divisors (2182209543360).

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

494451397440 is a wasteful number, since it uses less digits than its factorization.

494451397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 494451397440 in words is "four hundred ninety-four billion, four hundred fifty-one million, three hundred ninety-seven thousand, four hundred forty".