406379520000 has 420 divisors, whose sum is σ = 1467088803180. Its totient is φ = 108355584000.

The previous prime is 406379519983. The next prime is 406379520007. The reversal of 406379520000 is 25973604.

406379520000 is a `hidden beast` number, since 4 + 0 + 63 + 79 + 520 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×406379520000³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406379520007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46075591 + ... + 46084409.

It is an arithmetic number, because the mean of its divisors is an integer number (3493068579).

Almost surely, 2^406379520000 is an apocalyptic number.

406379520000 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 406379520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733544401590).

406379520000 is an abundant number, since it is smaller than the sum of its proper divisors (1060709283180).

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

406379520000 is an frugal number, since it uses more digits than its factorization.

406379520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 406379520000 in words is "four hundred six billion, three hundred seventy-nine million, five hundred twenty thousand".