13155435440 has 80 divisors (see below), whose sum is σ = 34989480768. Its totient is φ = 4506098688.

The previous prime is 13155435427. The next prime is 13155435451. The reversal of 13155435440 is 4453455131.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13155435440.

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, 601334 + ... + 622826.

Almost surely, 2^13155435440 is an apocalyptic number.

13155435440 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 13155435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494740384).

13155435440 is an abundant number, since it is smaller than the sum of its proper divisors (21834045328).

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

13155435440 is a wasteful number, since it uses less digits than its factorization.

13155435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22606 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 13155435440 in words is "thirteen billion, one hundred fifty-five million, four hundred thirty-five thousand, four hundred forty".