407012445904554 has 256 divisors, whose sum is σ = 1094721125621760. Its totient is φ = 109584802229760.

The previous prime is 407012445904541. The next prime is 407012445904583. The reversal of 407012445904554 is 455409544210704.

407012445904554 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 1 + 2 + 4 + 4 + 590 + 45 + 5 + 4 = 666.

It is a super-2 number, since 2×407012445904554² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 407012445904554.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167168062 + ... + 169585334.

It is an arithmetic number, because the mean of its divisors is an integer number (4276254396960).

Almost surely, 2^{407012445904554} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407012445904554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547360562810880).

407012445904554 is an abundant number, since it is smaller than the sum of its proper divisors (687708679717206).

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

407012445904554 is a wasteful number, since it uses less digits than its factorization.

407012445904554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417602 (or 2417596 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 407012445904554 in words is "four hundred seven trillion, twelve billion, four hundred forty-five million, nine hundred four thousand, five hundred fifty-four".