13406178240000 has 4800 divisors, whose sum is σ = 65931705100800. Its totient is φ = 2617049088000.

The previous prime is 13406178239981. The next prime is 13406178240023. The reversal of 13406178240000 is 4287160431.

13406178240000 is a `hidden beast` number, since 1 + 3 + 406 + 1 + 7 + 8 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 227223359971 + ... + 227223360029.

It is an arithmetic number, because the mean of its divisors is an integer number (13735771896).

Almost surely, 2^{13406178240000} is an apocalyptic number.

13406178240000 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 13406178240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965852550400).

13406178240000 is an abundant number, since it is smaller than the sum of its proper divisors (52525526860800).

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

13406178240000 is an equidigital number, since it uses as much as digits as its factorization.

13406178240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13406178240000 in words is "thirteen trillion, four hundred six billion, one hundred seventy-eight million, two hundred forty thousand".