400893641400 has 192 divisors, whose sum is σ = 1420734067200. Its totient is φ = 91605404160.

The previous prime is 400893641399. The next prime is 400893641411. The reversal of 400893641400 is 4146398004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16212246 + ... + 16236954.

It is an arithmetic number, because the mean of its divisors is an integer number (7399656600).

Almost surely, 2^400893641400 is an apocalyptic number.

400893641400 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 400893641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710367033600).

400893641400 is an abundant number, since it is smaller than the sum of its proper divisors (1019840425800).

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

400893641400 is a wasteful number, since it uses less digits than its factorization.

400893641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28598 (or 28589 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 400893641400 in words is "four hundred billion, eight hundred ninety-three million, six hundred forty-one thousand, four hundred".