42138624000 has 896 divisors, whose sum is σ = 161932193280. Its totient is φ = 9633792000.

The previous prime is 42138623987. The next prime is 42138624019. The reversal of 42138624000 is 42683124.

It is a super-2 number, since 2×42138624000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979967979 + ... + 979968021.

Almost surely, 2^42138624000 is an apocalyptic number.

42138624000 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 42138624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80966096640).

42138624000 is an abundant number, since it is smaller than the sum of its proper divisors (119793569280).

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

42138624000 is a wasteful number, since it uses less digits than its factorization.

42138624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42138624000 in words is "forty-two billion, one hundred thirty-eight million, six hundred twenty-four thousand".