413738357760 has 1760 divisors, whose sum is σ = 1924111875840. Its totient is φ = 82556485632.

The previous prime is 413738357743. The next prime is 413738357783. The reversal of 413738357760 is 67753837314.

413738357760 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 3 + 8 + 3 + 577 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 413738357697 and 413738357706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 717050592 + ... + 717051168.

It is an arithmetic number, because the mean of its divisors is an integer number (1093245384).

Almost surely, 2^413738357760 is an apocalyptic number.

413738357760 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 413738357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962055937920).

413738357760 is an abundant number, since it is smaller than the sum of its proper divisors (1510373518080).

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

413738357760 is a wasteful number, since it uses less digits than its factorization.

413738357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 413738357760 in words is "four hundred thirteen billion, seven hundred thirty-eight million, three hundred fifty-seven thousand, seven hundred sixty".