400112455680 has 624 divisors, whose sum is σ = 1654796931840. Its totient is φ = 91448082432.

The previous prime is 400112455667. The next prime is 400112455693. The reversal of 400112455680 is 86554211004.

It is a happy number.

400112455680 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 1 + 24 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (400112455667) and next prime (400112455693).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27087657 + ... + 27102423.

It is an arithmetic number, because the mean of its divisors is an integer number (2651918160).

Almost surely, 2^400112455680 is an apocalyptic number.

400112455680 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 400112455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827398465920).

400112455680 is an abundant number, since it is smaller than the sum of its proper divisors (1254684476160).

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

400112455680 is a wasteful number, since it uses less digits than its factorization.

400112455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 400112455680 its reverse (86554211004), we get a palindrome (486666666684).

The spelling of 400112455680 in words is "four hundred billion, one hundred twelve million, four hundred fifty-five thousand, six hundred eighty".