400132992000 has 352 divisors, whose sum is σ = 1521144368640. Its totient is φ = 91458355200.

The previous prime is 400132991989. The next prime is 400132992013. The reversal of 400132992000 is 299231004.

It is a super-2 number, since 2×400132992000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2613571 + ... + 2762429.

Almost surely, 2^400132992000 is an apocalyptic number.

400132992000 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 400132992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760572184320).

400132992000 is an abundant number, since it is smaller than the sum of its proper divisors (1121011376640).

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

400132992000 is a wasteful number, since it uses less digits than its factorization.

400132992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148904 (or 148876 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 400132992000 in words is "four hundred billion, one hundred thirty-two million, nine hundred ninety-two thousand".