42965901014400 has 3840 divisors, whose sum is σ = 210726162662400. Its totient is φ = 8369115955200.

The previous prime is 42965901014359. The next prime is 42965901014411. The reversal of 42965901014400 is 441010956924.

42965901014400 is a `hidden beast` number, since 4 + 2 + 9 + 6 + 590 + 1 + 0 + 14 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15732661035 + ... + 15732663765.

It is an arithmetic number, because the mean of its divisors is an integer number (54876604860).

Almost surely, 2^{42965901014400} is an apocalyptic number.

42965901014400 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 42965901014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105363081331200).

42965901014400 is an abundant number, since it is smaller than the sum of its proper divisors (167760261648000).

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

42965901014400 is a wasteful number, since it uses less digits than its factorization.

42965901014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42965901014400 in words is "forty-two trillion, nine hundred sixty-five billion, nine hundred one million, fourteen thousand, four hundred".