413349391440 has 80 divisors (see below), whose sum is σ = 1423759022400. Its totient is φ = 110226503808.

The previous prime is 413349391409. The next prime is 413349391529. The reversal of 413349391440 is 44193943314.

413349391440 is a `hidden beast` number, since 4 + 1 + 3 + 34 + 93 + 91 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95680570 + ... + 95684889.

It is an arithmetic number, because the mean of its divisors is an integer number (17796987780).

Almost surely, 2^413349391440 is an apocalyptic number.

413349391440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413349391440 is an abundant number, since it is smaller than the sum of its proper divisors (1010409630960).

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

413349391440 is a wasteful number, since it uses less digits than its factorization.

413349391440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191365481 (or 191365469 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 413349391440 in words is "four hundred thirteen billion, three hundred forty-nine million, three hundred ninety-one thousand, four hundred forty".