42393492960 has 768 divisors, whose sum is σ = 178843521024. Its totient is φ = 8185577472.

The previous prime is 42393492881. The next prime is 42393492979. The reversal of 42393492960 is 6929439324.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27473949 + ... + 27475491.

It is an arithmetic number, because the mean of its divisors is an integer number (232869168).

Almost surely, 2^42393492960 is an apocalyptic number.

42393492960 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 42393492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89421760512).

42393492960 is an abundant number, since it is smaller than the sum of its proper divisors (136450028064).

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

42393492960 is a wasteful number, since it uses less digits than its factorization.

42393492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The spelling of 42393492960 in words is "forty-two billion, three hundred ninety-three million, four hundred ninety-two thousand, nine hundred sixty".