413057643552000 has 3456 divisors, whose sum is σ = 1614146973723648. Its totient is φ = 101252726784000.

The previous prime is 413057643551951. The next prime is 413057643552049. The reversal of 413057643552000 is 255346750314.

413057643552000 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 5 + 7 + 6 + 435 + 5 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (413057643551951) and next prime (413057643552049).

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 383 ways as a sum of consecutive naturals, for example, 3015019295932 + ... + 3015019296068.

It is an arithmetic number, because the mean of its divisors is an integer number (467056416008).

Almost surely, 2^{413057643552000} is an apocalyptic number.

413057643552000 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 413057643552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807073486861824).

413057643552000 is an abundant number, since it is smaller than the sum of its proper divisors (1201089330171648).

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

413057643552000 is a wasteful number, since it uses less digits than its factorization.

413057643552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 413057643552000 in words is "four hundred thirteen trillion, fifty-seven billion, six hundred forty-three million, five hundred fifty-two thousand".