42420804800 has 84 divisors (see below), whose sum is σ = 113870984856. Its totient is φ = 15425740800.

The previous prime is 42420804799. The next prime is 42420804809. The reversal of 42420804800 is 840802424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42420804809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187537 + ... + 1222736.

Almost surely, 2^42420804800 is an apocalyptic number.

42420804800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42420804800 is an abundant number, since it is smaller than the sum of its proper divisors (71450180056).

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

42420804800 is a wasteful number, since it uses less digits than its factorization.

42420804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410306 (or 2410291 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 42420804800 in words is "forty-two billion, four hundred twenty million, eight hundred four thousand, eight hundred".