400112640 has 264 divisors, whose sum is σ = 1462540560. Its totient is φ = 100859904.

The previous prime is 400112639. The next prime is 400112641. The reversal of 400112640 is 46211004.

400112640 = T₃₁₉ + T₃₂₀ + ... + T₁₃₄₄.

400112640 is a `hidden beast` number, since 400 + 1 + 1 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400112639) and next prime (400112641).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400112641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875292 + ... + 875748.

Almost surely, 2^400112640 is an apocalyptic number.

400112640 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 400112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731270280).

400112640 is an abundant number, since it is smaller than the sum of its proper divisors (1062427920).

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

400112640 is a wasteful number, since it uses less digits than its factorization.

400112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400112640 is about 20002.8158017815. The cubic root of 400112640 is about 736.8754547885.

Adding to 400112640 its reverse (46211004), we get a palindrome (446323644).

It can be divided in two parts, 4001 and 12640, that added together give a square (16641 = 129²).

The spelling of 400112640 in words is "four hundred million, one hundred twelve thousand, six hundred forty".