406957907220480 has 3840 divisors, whose sum is σ = 1851726684487680. Its totient is φ = 83039020646400.

The previous prime is 406957907220467. The next prime is 406957907220523. The reversal of 406957907220480 is 84022709759604.

406957907220480 is a `hidden beast` number, since 4 + 0 + 69 + 5 + 7 + 9 + 0 + 72 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×406957907220480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 1062553282369 + ... + 1062553282751.

It is an arithmetic number, because the mean of its divisors is an integer number (482220490752).

Almost surely, 2^{406957907220480} is an apocalyptic number.

406957907220480 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 406957907220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925863342243840).

406957907220480 is an abundant number, since it is smaller than the sum of its proper divisors (1444768777267200).

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

406957907220480 is a wasteful number, since it uses less digits than its factorization.

406957907220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 406957907220480 in words is "four hundred six trillion, nine hundred fifty-seven billion, nine hundred seven million, two hundred twenty thousand, four hundred eighty".