406764960840 has 768 divisors, whose sum is σ = 1691485286400. Its totient is φ = 85856246784.

The previous prime is 406764960827. The next prime is 406764960857. The reversal of 406764960840 is 48069467604.

406764960840 is a `hidden beast` number, since 4 + 0 + 6 + 76 + 496 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 45378199 + ... + 45387161.

It is an arithmetic number, because the mean of its divisors is an integer number (2202454800).

Almost surely, 2^406764960840 is an apocalyptic number.

406764960840 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 406764960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845742643200).

406764960840 is an abundant number, since it is smaller than the sum of its proper divisors (1284720325560).

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

406764960840 is a wasteful number, since it uses less digits than its factorization.

406764960840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 406764960840 in words is "four hundred six billion, seven hundred sixty-four million, nine hundred sixty thousand, eight hundred forty".