42870651230400 has 504 divisors, whose sum is σ = 163762446206736. Its totient is φ = 9790173388800.

The previous prime is 42870651230369. The next prime is 42870651230413. The reversal of 42870651230400 is 403215607824.

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

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, 262636810 + ... + 262799990.

Almost surely, 2^{42870651230400} is an apocalyptic number.

42870651230400 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 42870651230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81881223103368).

42870651230400 is an abundant number, since it is smaller than the sum of its proper divisors (120891794976336).

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

42870651230400 is a wasteful number, since it uses less digits than its factorization.

42870651230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164337 (or 164315 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 42870651230400 in words is "forty-two trillion, eight hundred seventy billion, six hundred fifty-one million, two hundred thirty thousand, four hundred".