413067105584640 has 1280 divisors, whose sum is σ = 1631972587069440. Its totient is φ = 98344617246720.

The previous prime is 413067105584599. The next prime is 413067105584659. The reversal of 413067105584640 is 46485501760314.

413067105584640 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 6 + 7 + 1 + 0 + 558 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79025653707 + ... + 79025658933.

It is an arithmetic number, because the mean of its divisors is an integer number (1274978583648).

Almost surely, 2^{413067105584640} is an apocalyptic number.

413067105584640 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 413067105584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815986293534720).

413067105584640 is an abundant number, since it is smaller than the sum of its proper divisors (1218905481484800).

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

413067105584640 is a wasteful number, since it uses less digits than its factorization.

413067105584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 413067105584640 in words is "four hundred thirteen trillion, sixty-seven billion, one hundred five million, five hundred eighty-four thousand, six hundred forty".