42096012595200 has 390 divisors, whose sum is σ = 155933727594194. Its totient is φ = 11225601146880.

The previous prime is 42096012595183. The next prime is 42096012595243. The reversal of 42096012595200 is 259521069024.

42096012595200 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 60 + 12 + 59 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 574588256256 + 41521424338944 = 758016^2 + 6443712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5756784 + ... + 10832016.

Almost surely, 2^{42096012595200} is an apocalyptic number.

42096012595200 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 42096012595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77966863797097).

42096012595200 is an abundant number, since it is smaller than the sum of its proper divisors (113837714998994).

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

42096012595200 is an equidigital number, since it uses as much as digits as its factorization.

42096012595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075279 (or 5075243 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42096012595200 in words is "forty-two trillion, ninety-six billion, twelve million, five hundred ninety-five thousand, two hundred".