13405873766400 has 1680 divisors, whose sum is σ = 52866953686800. Its totient is φ = 3363412377600.

The previous prime is 13405873766399. The next prime is 13405873766437. The reversal of 13405873766400 is 466737850431.

It is a happy number.

13405873766400 is a `hidden beast` number, since 13 + 4 + 0 + 587 + 3 + 7 + 6 + 6 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 219768422370 + ... + 219768422430.

Almost surely, 2^{13405873766400} is an apocalyptic number.

13405873766400 is a gapful number since it is divisible by the number (10) 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 13405873766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26433476843400).

13405873766400 is an abundant number, since it is smaller than the sum of its proper divisors (39461079920400).

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

13405873766400 is an frugal number, since it uses more digits than its factorization.

13405873766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 13405873766400 in words is "thirteen trillion, four hundred five billion, eight hundred seventy-three million, seven hundred sixty-six thousand, four hundred".