13370940446400 has 252 divisors, whose sum is σ = 49589718836112. Its totient is φ = 3410558638080.

The previous prime is 13370940446371. The next prime is 13370940446401. The reversal of 13370940446400 is 464404907331.

13370940446400 is a `hidden beast` number, since 1 + 33 + 70 + 94 + 0 + 4 + 464 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13370940446401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19854399 + ... + 20516798.

It is an arithmetic number, because the mean of its divisors is an integer number (196784598556).

Almost surely, 2^{13370940446400} is an apocalyptic number.

13370940446400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13370940446400 is an abundant number, since it is smaller than the sum of its proper divisors (36218778389712).

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

13370940446400 is a wasteful number, since it uses less digits than its factorization.

13370940446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40371248 (or 40371230 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13370940446400 in words is "thirteen trillion, three hundred seventy billion, nine hundred forty million, four hundred forty-six thousand, four hundred".