400420579298880 has 2688 divisors, whose sum is σ = 1634308144128000. Its totient is φ = 82485538652160.

The previous prime is 400420579298813. The next prime is 400420579298891. The reversal of 400420579298880 is 88892975024004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 765622522299 + ... + 765622522821.

Almost surely, 2^{400420579298880} is an apocalyptic number.

400420579298880 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 400420579298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817154072064000).

400420579298880 is an abundant number, since it is smaller than the sum of its proper divisors (1233887564829120).

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

400420579298880 is a wasteful number, since it uses less digits than its factorization.

400420579298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 400420579298880 in words is "four hundred trillion, four hundred twenty billion, five hundred seventy-nine million, two hundred ninety-eight thousand, eight hundred eighty".