13040546400 has 972 divisors, whose sum is σ = 57012827508. Its totient is φ = 2900136960.

The previous prime is 13040546383. The next prime is 13040546419. The reversal of 13040546400 is 464504031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13040546400 is a `hidden beast` number, since 13 + 0 + 4 + 0 + 5 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 352447182 + ... + 352447218.

Almost surely, 2^13040546400 is an apocalyptic number.

13040546400 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 13040546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28506413754).

13040546400 is an abundant number, since it is smaller than the sum of its proper divisors (43972281108).

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

13040546400 is an equidigital number, since it uses as much as digits as its factorization.

13040546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 13040546400 in words is "thirteen billion, forty million, five hundred forty-six thousand, four hundred".