413897765915376 has 240 divisors, whose sum is σ = 1186685409856128. Its totient is φ = 134608158720000.

The previous prime is 413897765915369. The next prime is 413897765915429. The reversal of 413897765915376 is 673519567798314.

413897765915376 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 9 + 7 + 76 + 5 + 9 + 1 + 537 + 6 = 666.

It is a super-2 number, since 2×413897765915376² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413897765915295 and 413897765915304.

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 47 ways as a sum of consecutive naturals, for example, 20529614736 + ... + 20529634896.

Almost surely, 2^{413897765915376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413897765915376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593342704928064).

413897765915376 is an abundant number, since it is smaller than the sum of its proper divisors (772787643940752).

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

413897765915376 is a wasteful number, since it uses less digits than its factorization.

413897765915376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29560 (or 29551 counting only the distinct ones).

The product of its digits is 7201353600, while the sum is 81.

The spelling of 413897765915376 in words is "four hundred thirteen trillion, eight hundred ninety-seven billion, seven hundred sixty-five million, nine hundred fifteen thousand, three hundred seventy-six".