13807400074080 has 192 divisors, whose sum is σ = 44049559760640. Its totient is φ = 3634948438016.

The previous prime is 13807400074063. The next prime is 13807400074081. The reversal of 13807400074080 is 8047000470831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807400074081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54574111 + ... + 54826529.

It is an arithmetic number, because the mean of its divisors is an integer number (229424790420).

Almost surely, 2^{13807400074080} is an apocalyptic number.

13807400074080 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 13807400074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024779880320).

13807400074080 is an abundant number, since it is smaller than the sum of its proper divisors (30242159686560).

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

13807400074080 is a wasteful number, since it uses less digits than its factorization.

13807400074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253893 (or 253885 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 13807400074080 in words is "thirteen trillion, eight hundred seven billion, four hundred million, seventy-four thousand, eighty".