2413382860800 has 912 divisors, whose sum is σ = 9268051985280. Its totient is φ = 614549422080.

The previous prime is 2413382860793. The next prime is 2413382860841. The reversal of 2413382860800 is 80682833142.

2413382860800 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 38 + 2 + 8 + 608 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4069785304 + ... + 4069785896.

Almost surely, 2^{2413382860800} is an apocalyptic number.

2413382860800 is a gapful number since it is divisible by the number (20) 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 2413382860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634025992640).

2413382860800 is an abundant number, since it is smaller than the sum of its proper divisors (6854669124480).

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

2413382860800 is an frugal number, since it uses more digits than its factorization.

2413382860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2413382860800 in words is "two trillion, four hundred thirteen billion, three hundred eighty-two million, eight hundred sixty thousand, eight hundred".