412167591469440 has 1024 divisors, whose sum is σ = 1499815321804800. Its totient is φ = 106942605557760.

The previous prime is 412167591469399. The next prime is 412167591469441. The reversal of 412167591469440 is 44964195761214.

It is a happy number.

412167591469440 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 67 + 5 + 91 + 46 + 9 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412167591469441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43675696402 + ... + 43675705838.

It is an arithmetic number, because the mean of its divisors is an integer number (1464663400200).

Almost surely, 2^{412167591469440} is an apocalyptic number.

412167591469440 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 412167591469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749907660902400).

412167591469440 is an abundant number, since it is smaller than the sum of its proper divisors (1087647730335360).

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

412167591469440 is a wasteful number, since it uses less digits than its factorization.

412167591469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 412167591469440 in words is "four hundred twelve trillion, one hundred sixty-seven billion, five hundred ninety-one million, four hundred sixty-nine thousand, four hundred forty".