13353153305440 has 192 divisors, whose sum is σ = 34211935396800. Its totient is φ = 4895813099520.

The previous prime is 13353153305431. The next prime is 13353153305473. The reversal of 13353153305440 is 4450335135331.

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 = 13353153305393 and 13353153305402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029042950 + ... + 2029049530.

It is an arithmetic number, because the mean of its divisors is an integer number (178187163525).

Almost surely, 2^{13353153305440} is an apocalyptic number.

13353153305440 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 13353153305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105967698400).

13353153305440 is an abundant number, since it is smaller than the sum of its proper divisors (20858782091360).

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

13353153305440 is a wasteful number, since it uses less digits than its factorization.

13353153305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13305 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 40.

The spelling of 13353153305440 in words is "thirteen trillion, three hundred fifty-three billion, one hundred fifty-three million, three hundred five thousand, four hundred forty".