42897335496960 has 576 divisors, whose sum is σ = 164997226598400. Its totient is φ = 9278837784576.

The previous prime is 42897335496949. The next prime is 42897335496997. The reversal of 42897335496960 is 6969453379824.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469305982 + ... + 469397378.

It is an arithmetic number, because the mean of its divisors is an integer number (286453518400).

Almost surely, 2^{42897335496960} is an apocalyptic number.

42897335496960 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 42897335496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82498613299200).

42897335496960 is an abundant number, since it is smaller than the sum of its proper divisors (122099891101440).

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

42897335496960 is a wasteful number, since it uses less digits than its factorization.

42897335496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92366 (or 92352 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 75.

The spelling of 42897335496960 in words is "forty-two trillion, eight hundred ninety-seven billion, three hundred thirty-five million, four hundred ninety-six thousand, nine hundred sixty".