400338423936 has 576 divisors, whose sum is σ = 1330219013760. Its totient is φ = 115260456960.

The previous prime is 400338423907. The next prime is 400338423937. The reversal of 400338423936 is 639324833004.

400338423936 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 384 + 239 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 400338423891 and 400338423900.

It is not an unprimeable number, because it can be changed into a prime (400338423937) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 618760765 + ... + 618761411.

It is an arithmetic number, because the mean of its divisors is an integer number (2309408010).

Almost surely, 2^400338423936 is an apocalyptic number.

400338423936 is a gapful number since it is divisible by the number (46) 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 400338423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665109506880).

400338423936 is an abundant number, since it is smaller than the sum of its proper divisors (929880589824).

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

400338423936 is a wasteful number, since it uses less digits than its factorization.

400338423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 400338423936 in words is "four hundred billion, three hundred thirty-eight million, four hundred twenty-three thousand, nine hundred thirty-six".