42570964800 has 2016 divisors, whose sum is σ = 207495648000. Its totient is φ = 8453652480.

The previous prime is 42570964789. The next prime is 42570964811. The reversal of 42570964800 is 846907524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42570964789) and next prime (42570964811).

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2504174392 + ... + 2504174408.

Almost surely, 2^42570964800 is an apocalyptic number.

42570964800 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 42570964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103747824000).

42570964800 is an abundant number, since it is smaller than the sum of its proper divisors (164924683200).

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

42570964800 is a wasteful number, since it uses less digits than its factorization.

42570964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42570964800 in words is "forty-two billion, five hundred seventy million, nine hundred sixty-four thousand, eight hundred".