42070089484800 has 2400 divisors, whose sum is σ = 174894185055744. Its totient is φ = 9917448192000.

The previous prime is 42070089484789. The next prime is 42070089484837. The reversal of 42070089484800 is 848498007024.

42070089484800 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 0 + 0 + 89 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44707852330 + ... + 44707853270.

Almost surely, 2^{42070089484800} is an apocalyptic number.

42070089484800 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 42070089484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87447092527872).

42070089484800 is an abundant number, since it is smaller than the sum of its proper divisors (132824095570944).

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

42070089484800 is a wasteful number, since it uses less digits than its factorization.

42070089484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 42070089484800 in words is "forty-two trillion, seventy billion, eighty-nine million, four hundred eighty-four thousand, eight hundred".