42597617513472 has 1056 divisors, whose sum is σ = 149294607571200. Its totient is φ = 12126439342080.

The previous prime is 42597617513461. The next prime is 42597617513501. The reversal of 42597617513472 is 27431571679524.

It is a happy number.

42597617513472 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 7 + 617 + 5 + 1 + 3 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×42597617513472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28762738972 + ... + 28762740452.

Almost surely, 2^{42597617513472} is an apocalyptic number.

42597617513472 is a gapful number since it is divisible by the number (42) 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 42597617513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74647303785600).

42597617513472 is an abundant number, since it is smaller than the sum of its proper divisors (106696990057728).

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

42597617513472 is an equidigital number, since it uses as much as digits as its factorization.

42597617513472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1830 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 42597617513472 in words is "forty-two trillion, five hundred ninety-seven billion, six hundred seventeen million, five hundred thirteen thousand, four hundred seventy-two".