42970305303600 has 480 divisors, whose sum is σ = 142211679298560. Its totient is φ = 11082720337920.

The previous prime is 42970305303581. The next prime is 42970305303659. The reversal of 42970305303600 is 630350307924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6547353919 + ... + 6547360481.

It is an arithmetic number, because the mean of its divisors is an integer number (296274331872).

Almost surely, 2^{42970305303600} is an apocalyptic number.

42970305303600 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 42970305303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71105839649280).

42970305303600 is an abundant number, since it is smaller than the sum of its proper divisors (99241373994960).

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

42970305303600 is a wasteful number, since it uses less digits than its factorization.

42970305303600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 42970305303600 in words is "forty-two trillion, nine hundred seventy billion, three hundred five million, three hundred three thousand, six hundred".