13407770328480 has 384 divisors, whose sum is σ = 52576914620160. Its totient is φ = 3162520350720.

The previous prime is 13407770328467. The next prime is 13407770328577. The reversal of 13407770328480 is 8482307770431.

13407770328480 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 77 + 70 + 3 + 28 + 480 = 666.

13407770328480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13407770328480³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2054599 + ... + 5571078.

It is an arithmetic number, because the mean of its divisors is an integer number (136919048490).

Almost surely, 2^{13407770328480} is an apocalyptic number.

13407770328480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13407770328480 is an abundant number, since it is smaller than the sum of its proper divisors (39169144291680).

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

13407770328480 is a wasteful number, since it uses less digits than its factorization.

13407770328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625749 (or 7625735 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 13407770328480 in words is "thirteen trillion, four hundred seven billion, seven hundred seventy million, three hundred twenty-eight thousand, four hundred eighty".