406620133920 has 3072 divisors, whose sum is σ = 2072770560000. Its totient is φ = 73156608000.

The previous prime is 406620133891. The next prime is 406620133961. The reversal of 406620133920 is 29331026604.

406620133920 is a `hidden beast` number, since 4 + 0 + 6 + 620 + 1 + 3 + 3 + 9 + 20 = 666.

It is a super-4 number, since 4×406620133920⁴ (a number of 48 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4025941870 + ... + 4025941970.

It is an arithmetic number, because the mean of its divisors is an integer number (674730000).

Almost surely, 2^406620133920 is an apocalyptic number.

406620133920 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 406620133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280000).

406620133920 is an abundant number, since it is smaller than the sum of its proper divisors (1666150426080).

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

406620133920 is a wasteful number, since it uses less digits than its factorization.

406620133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 406620133920 in words is "four hundred six billion, six hundred twenty million, one hundred thirty-three thousand, nine hundred twenty".