400251826440 has 128 divisors (see below), whose sum is σ = 1377210700800. Its totient is φ = 103290785280.

The previous prime is 400251826427. The next prime is 400251826441. The reversal of 400251826440 is 44628152004.

400251826440 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 5 + 1 + 8 + 2 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 400251826395 and 400251826404.

It is not an unprimeable number, because it can be changed into a prime (400251826441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5943997 + ... + 6010956.

It is an arithmetic number, because the mean of its divisors is an integer number (10759458600).

Almost surely, 2^400251826440 is an apocalyptic number.

400251826440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400251826440 is an abundant number, since it is smaller than the sum of its proper divisors (976958874360).

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

400251826440 is a wasteful number, since it uses less digits than its factorization.

400251826440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955004 (or 11954994 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 400251826440 its reverse (44628152004), we get a palindrome (444879978444).

The spelling of 400251826440 in words is "four hundred billion, two hundred fifty-one million, eight hundred twenty-six thousand, four hundred forty".