400670630880 has 384 divisors, whose sum is σ = 1469789411328. Its totient is φ = 90848919552.

The previous prime is 400670630873. The next prime is 400670631017. The reversal of 400670630880 is 88036076004.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4945579 + ... + 5025941.

It is an arithmetic number, because the mean of its divisors is an integer number (3827576592).

Almost surely, 2^400670630880 is an apocalyptic number.

400670630880 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 400670630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734894705664).

400670630880 is an abundant number, since it is smaller than the sum of its proper divisors (1069118780448).

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

400670630880 is a wasteful number, since it uses less digits than its factorization.

400670630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80458 (or 80450 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 400670630880 in words is "four hundred billion, six hundred seventy million, six hundred thirty thousand, eight hundred eighty".