407463656615040 has 512 divisors, whose sum is σ = 1423954510272000. Its totient is φ = 98645690286080.

The previous prime is 407463656615027. The next prime is 407463656615051. The reversal of 407463656615040 is 40516656364704.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 1004097301 + ... + 1004503019.

It is an arithmetic number, because the mean of its divisors is an integer number (2781161152875).

Almost surely, 2^{407463656615040} is an apocalyptic number.

407463656615040 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 407463656615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711977255136000).

407463656615040 is an abundant number, since it is smaller than the sum of its proper divisors (1016490853656960).

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

407463656615040 is a wasteful number, since it uses less digits than its factorization.

407463656615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406848 (or 406836 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 407463656615040 in words is "four hundred seven trillion, four hundred sixty-three billion, six hundred fifty-six million, six hundred fifteen thousand, forty".