42501460800 has 336 divisors, whose sum is σ = 148616773632. Its totient is φ = 10608998400.

The previous prime is 42501460763. The next prime is 42501460801. The reversal of 42501460800 is 806410524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42501460801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5184705 + ... + 5192895.

Almost surely, 2^42501460800 is an apocalyptic number.

42501460800 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 42501460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74308386816).

42501460800 is an abundant number, since it is smaller than the sum of its proper divisors (106115312832).

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

42501460800 is a wasteful number, since it uses less digits than its factorization.

42501460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 42501460800 in words is "forty-two billion, five hundred one million, four hundred sixty thousand, eight hundred".