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12440432424420 = 2233571113211315667
BaseRepresentation
bin1011010100001000001110…
…0011100011010111100100
31122001021221010101110002000
42311002003203203113210
53112311001200040140
642243020013245300
72422535340602640
oct265020343432744
948037833343060
1012440432424420
113a66a598670a0
12148b057793830
136c3187865400
14310197953c20
1516890e26ba30
hexb50838e35e4

12440432424420 has 1152 divisors, whose sum is σ = 52716918804480. Its totient is φ = 2364909281280.

The previous prime is 12440432424397. The next prime is 12440432424437. The reversal of 12440432424420 is 2442423404421.

12440432424420 is a `hidden beast` number, since 1 + 2 + 4 + 404 + 3 + 2 + 4 + 244 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 794045427 + ... + 794061093.

It is an arithmetic number, because the mean of its divisors is an integer number (45761214240).

Almost surely, 212440432424420 is an apocalyptic number.

12440432424420 is a gapful number since it is divisible by the number (10) 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 12440432424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358459402240).

12440432424420 is an abundant number, since it is smaller than the sum of its proper divisors (40276486380060).

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

12440432424420 is a wasteful number, since it uses less digits than its factorization.

12440432424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15842 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 12440432424420 its reverse (2442423404421), we get a palindrome (14882855828841).

The spelling of 12440432424420 in words is "twelve trillion, four hundred forty billion, four hundred thirty-two million, four hundred twenty-four thousand, four hundred twenty".