42025172716800 has 4536 divisors, whose sum is σ = 200264221352832. Its totient is φ = 8497513267200.

The previous prime is 42025172716789. The next prime is 42025172716829. The reversal of 42025172716800 is 861727152024.

42025172716800 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 517 + 2 + 71 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×42025172716800² (a number of 28 digits) contains 22 as substring.

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 503 ways as a sum of consecutive naturals, for example, 408011385549 + ... + 408011385651.

Almost surely, 2^{42025172716800} is an apocalyptic number.

42025172716800 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 42025172716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100132110676416).

42025172716800 is an abundant number, since it is smaller than the sum of its proper divisors (158239048636032).

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

42025172716800 is a wasteful number, since it uses less digits than its factorization.

42025172716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

Adding to 42025172716800 its reverse (861727152024), we get a palindrome (42886899868824).

The spelling of 42025172716800 in words is "forty-two trillion, twenty-five billion, one hundred seventy-two million, seven hundred sixteen thousand, eight hundred".