13405455513040 has 80 divisors (see below), whose sum is σ = 32808867508800. Its totient is φ = 5079841468416.

The previous prime is 13405455513001. The next prime is 13405455513061. The reversal of 13405455513040 is 4031555450431.

13405455513040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13405455513040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13405455512984 and 13405455513002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88697056 + ... + 88848064.

It is an arithmetic number, because the mean of its divisors is an integer number (410110843860).

Almost surely, 2^{13405455513040} is an apocalyptic number.

13405455513040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405455513040 is an abundant number, since it is smaller than the sum of its proper divisors (19403411995760).

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

13405455513040 is a wasteful number, since it uses less digits than its factorization.

13405455513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209444 (or 209438 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 13405455513040 in words is "thirteen trillion, four hundred five billion, four hundred fifty-five million, five hundred thirteen thousand, forty".