400412016000 has 384 divisors, whose sum is σ = 1522575999360. Its totient is φ = 100494950400.

The previous prime is 400412015987. The next prime is 400412016061. The reversal of 400412016000 is 610214004.

400412016000 is a `hidden beast` number, since 4 + 0 + 0 + 41 + 20 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2366217 + ... + 2529783.

It is an arithmetic number, because the mean of its divisors is an integer number (3965041665).

Almost surely, 2^400412016000 is an apocalyptic number.

400412016000 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 400412016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761287999680).

400412016000 is an abundant number, since it is smaller than the sum of its proper divisors (1122163983360).

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

400412016000 is a wasteful number, since it uses less digits than its factorization.

400412016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163619 (or 163594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 400412016000 in words is "four hundred billion, four hundred twelve million, sixteen thousand".