42600038400 has 612 divisors, whose sum is σ = 159732557712. Its totient is φ = 11253841920.

The previous prime is 42600038333. The next prime is 42600038417. The reversal of 42600038400 is 483000624.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398131147 + ... + 398131253.

Almost surely, 2^42600038400 is an apocalyptic number.

42600038400 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 42600038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79866278856).

42600038400 is an abundant number, since it is smaller than the sum of its proper divisors (117132519312).

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

42600038400 is an frugal number, since it uses more digits than its factorization.

42600038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42600038400 in words is "forty-two billion, six hundred million, thirty-eight thousand, four hundred".