42712934400 has 216 divisors, whose sum is σ = 152971517790. Its totient is φ = 11389992960.

The previous prime is 42712934393. The next prime is 42712934423. The reversal of 42712934400 is 443921724.

It can be written as a sum of positive squares in 3 ways, for example, as 22170018816 + 20542915584 = 148896^2 + 143328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414454 + ... + 507146.

Almost surely, 2^42712934400 is an apocalyptic number.

42712934400 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 42712934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76485758895).

42712934400 is an abundant number, since it is smaller than the sum of its proper divisors (110258583390).

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

42712934400 is a wasteful number, since it uses less digits than its factorization.

42712934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92731 (or 92703 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42712934400 in words is "forty-two billion, seven hundred twelve million, nine hundred thirty-four thousand, four hundred".