413781013350144 has 720 divisors, whose sum is σ = 1426393897479936. Its totient is φ = 117910337126400.

The previous prime is 413781013350137. The next prime is 413781013350163. The reversal of 413781013350144 is 441053310187314.

413781013350144 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 8 + 1 + 0 + 133 + 501 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 413781013350144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4540661509 + ... + 4540752635.

Almost surely, 2^{413781013350144} is an apocalyptic number.

413781013350144 is a gapful number since it is divisible by the number (44) 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 413781013350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713196948739968).

413781013350144 is an abundant number, since it is smaller than the sum of its proper divisors (1012612884129792).

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

413781013350144 is a wasteful number, since it uses less digits than its factorization.

413781013350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92354 (or 92331 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 413781013350144 in words is "four hundred thirteen trillion, seven hundred eighty-one billion, thirteen million, three hundred fifty thousand, one hundred forty-four".