400213112640 has 448 divisors, whose sum is σ = 1437875712000. Its totient is φ = 93422264320.

The previous prime is 400213112597. The next prime is 400213112657. The reversal of 400213112640 is 46211312004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400213112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128313001 + ... + 128316119.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544000).

Almost surely, 2^400213112640 is an apocalyptic number.

400213112640 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 400213112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856000).

400213112640 is an abundant number, since it is smaller than the sum of its proper divisors (1037662599360).

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

400213112640 is a wasteful number, since it uses less digits than its factorization.

400213112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 400213112640 its reverse (46211312004), we get a palindrome (446424424644).

The spelling of 400213112640 in words is "four hundred billion, two hundred thirteen million, one hundred twelve thousand, six hundred forty".