400923304992 has 288 divisors, whose sum is σ = 1353024691200. Its totient is φ = 114399952128.

The previous prime is 400923304981. The next prime is 400923305011. The reversal of 400923304992 is 299403329004.

It is a happy number.

400923304992 is a `hidden beast` number, since 40 + 0 + 92 + 3 + 30 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×400923304992³ (a number of 36 digits) contains 333 as substring.

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, 45664059 + ... + 45672837.

It is an arithmetic number, because the mean of its divisors is an integer number (4698002400).

Almost surely, 2^400923304992 is an apocalyptic number.

400923304992 is a gapful number since it is divisible by the number (42) 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 400923304992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676512345600).

400923304992 is an abundant number, since it is smaller than the sum of its proper divisors (952101386208).

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

400923304992 is an equidigital number, since it uses as much as digits as its factorization.

400923304992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9650 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 400923304992 in words is "four hundred billion, nine hundred twenty-three million, three hundred four thousand, nine hundred ninety-two".