400786077669120 has 1080 divisors, whose sum is σ = 1694058150696912. Its totient is φ = 89686351872000.

The previous prime is 400786077669077. The next prime is 400786077669143. The reversal of 400786077669120 is 21966770687004.

400786077669120 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 8 + 607 + 7 + 6 + 6 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 191701420 + ... + 193780820.

Almost surely, 2^{400786077669120} is an apocalyptic number.

400786077669120 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 400786077669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847029075348456).

400786077669120 is an abundant number, since it is smaller than the sum of its proper divisors (1293272073027792).

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

400786077669120 is a wasteful number, since it uses less digits than its factorization.

400786077669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079471 (or 2079435 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 400786077669120 in words is "four hundred trillion, seven hundred eighty-six billion, seventy-seven million, six hundred sixty-nine thousand, one hundred twenty".