42012339600 has 240 divisors, whose sum is σ = 167787832320. Its totient is φ = 8729817600.

The previous prime is 42012339587. The next prime is 42012339613. The reversal of 42012339600 is 693321024.

It is an interprime number because it is at equal distance from previous prime (42012339587) and next prime (42012339613).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134940 + ... + 319739.

It is an arithmetic number, because the mean of its divisors is an integer number (699115968).

Almost surely, 2^42012339600 is an apocalyptic number.

42012339600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42012339600 is an abundant number, since it is smaller than the sum of its proper divisors (125775492720).

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

42012339600 is a wasteful number, since it uses less digits than its factorization.

42012339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454718 (or 454707 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 42012339600 in words is "forty-two billion, twelve million, three hundred thirty-nine thousand, six hundred".