42940684800 has 720 divisors, whose sum is σ = 168928047288. Its totient is φ = 10351411200.

The previous prime is 42940684799. The next prime is 42940684837. The reversal of 42940684800 is 848604924.

It can be written as a sum of positive squares in 12 ways, for example, as 596922624 + 42343762176 = 24432^2 + 205776^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×42940684800² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 79372530 + ... + 79373070.

Almost surely, 2^42940684800 is an apocalyptic number.

42940684800 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 42940684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84464023644).

42940684800 is an abundant number, since it is smaller than the sum of its proper divisors (125987362488).

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

42940684800 is a wasteful number, since it uses less digits than its factorization.

42940684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42940684800 in words is "forty-two billion, nine hundred forty million, six hundred eighty-four thousand, eight hundred".