42630824544000 has 864 divisors, whose sum is σ = 177875869237248. Its totient is φ = 8858336256000.

The previous prime is 42630824543971. The next prime is 42630824544019. The reversal of 42630824544000 is 44542803624.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 81049857 + ... + 81574143.

Almost surely, 2^{42630824544000} is an apocalyptic number.

42630824544000 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 42630824544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88937934618624).

42630824544000 is an abundant number, since it is smaller than the sum of its proper divisors (135245044693248).

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

42630824544000 is a wasteful number, since it uses less digits than its factorization.

42630824544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524350 (or 524315 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 42630824544000 in words is "forty-two trillion, six hundred thirty billion, eight hundred twenty-four million, five hundred forty-four thousand".