13420902240 has 144 divisors (see below), whose sum is σ = 45999954000. Its totient is φ = 3563191296.

The previous prime is 13420902107. The next prime is 13420902277. The reversal of 13420902240 is 4220902431.

13420902240 is a `hidden beast` number, since 13 + 420 + 9 + 0 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309411 + ... + 350109.

It is an arithmetic number, because the mean of its divisors is an integer number (319444125).

Almost surely, 2^13420902240 is an apocalyptic number.

13420902240 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 13420902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999977000).

13420902240 is an abundant number, since it is smaller than the sum of its proper divisors (32579051760).

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

13420902240 is a wasteful number, since it uses less digits than its factorization.

13420902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40949 (or 40938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13420902240 in words is "thirteen billion, four hundred twenty million, nine hundred two thousand, two hundred forty".