42507200736000 has 6912 divisors, whose sum is σ = 219638665838592. Its totient is φ = 7900913664000.

The previous prime is 42507200735999. The next prime is 42507200736029. The reversal of 42507200736000 is 63700270524.

It is a happy number.

42507200736000 is a `hidden beast` number, since 4 + 2 + 507 + 20 + 0 + 73 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×42507200736000² (a number of 28 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 334702367937 + ... + 334702368063.

Almost surely, 2^{42507200736000} is an apocalyptic number.

42507200736000 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 42507200736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109819332919296).

42507200736000 is an abundant number, since it is smaller than the sum of its proper divisors (177131465102592).

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

42507200736000 is a wasteful number, since it uses less digits than its factorization.

42507200736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 42507200736000 in words is "forty-two trillion, five hundred seven billion, two hundred million, seven hundred thirty-six thousand".