400467438000 has 480 divisors, whose sum is σ = 1653649695360. Its totient is φ = 88378214400.

The previous prime is 400467437983. The next prime is 400467438011. The reversal of 400467438000 is 834764004.

400467438000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3599202 + ... + 3708798.

It is an arithmetic number, because the mean of its divisors is an integer number (3445103532).

Almost surely, 2^400467438000 is an apocalyptic number.

400467438000 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 400467438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826824847680).

400467438000 is an abundant number, since it is smaller than the sum of its proper divisors (1253182257360).

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

400467438000 is a wasteful number, since it uses less digits than its factorization.

400467438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109662 (or 109643 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 400467438000 in words is "four hundred billion, four hundred sixty-seven million, four hundred thirty-eight thousand".