400006512000 has 960 divisors, whose sum is σ = 1542823064640. Its totient is φ = 102709555200.

The previous prime is 400006511977. The next prime is 400006512041. The reversal of 400006512000 is 215600004.

It is a happy number.

400006512000 is a `hidden beast` number, since 400 + 0 + 0 + 65 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×400006512000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1089935817 + ... + 1089936183.

It is an arithmetic number, because the mean of its divisors is an integer number (1607107359).

Almost surely, 2^400006512000 is an apocalyptic number.

400006512000 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 400006512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771411532320).

400006512000 is an abundant number, since it is smaller than the sum of its proper divisors (1142816552640).

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

400006512000 is an equidigital number, since it uses as much as digits as its factorization.

400006512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 400006512000 in words is "four hundred billion, six million, five hundred twelve thousand".