413044122155544 has 192 divisors, whose sum is σ = 1305645788678400. Its totient is φ = 116633370182400.

The previous prime is 413044122155527. The next prime is 413044122155633. The reversal of 413044122155544 is 445551221440314.

413044122155544 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 44 + 12 + 2 + 1 + 55 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413044122155544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224069284 + ... + 225905139.

It is an arithmetic number, because the mean of its divisors is an integer number (6800238482700).

Almost surely, 2^{413044122155544} is an apocalyptic number.

413044122155544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413044122155544 is an abundant number, since it is smaller than the sum of its proper divisors (892601666522856).

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

413044122155544 is a wasteful number, since it uses less digits than its factorization.

413044122155544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449974526 (or 449974519 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 413044122155544 its reverse (445551221440314), we get a palindrome (858595343595858).

The spelling of 413044122155544 in words is "four hundred thirteen trillion, forty-four billion, one hundred twenty-two million, one hundred fifty-five thousand, five hundred forty-four".