42574881484800 has 1872 divisors, whose sum is σ = 183742403400192. Its totient is φ = 9569481523200.

The previous prime is 42574881484789. The next prime is 42574881484867. The reversal of 42574881484800 is 848418847524.

42574881484800 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 4 + 8 + 8 + 148 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10625124397 + ... + 10625128403.

Almost surely, 2^{42574881484800} is an apocalyptic number.

42574881484800 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 42574881484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91871201700096).

42574881484800 is an abundant number, since it is smaller than the sum of its proper divisors (141167521915392).

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

42574881484800 is an equidigital number, since it uses as much as digits as its factorization.

42574881484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 73400320, while the sum is 63.

The spelling of 42574881484800 in words is "forty-two trillion, five hundred seventy-four billion, eight hundred eighty-one million, four hundred eighty-four thousand, eight hundred".