13338474240 has 1152 divisors, whose sum is σ = 57689856000. Its totient is φ = 2601123840.

The previous prime is 13338474239. The next prime is 13338474257. The reversal of 13338474240 is 4247483331.

It is a happy number.

It is a super-2 number, since 2×13338474240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325328620 + ... + 325328660.

It is an arithmetic number, because the mean of its divisors is an integer number (50078000).

Almost surely, 2^13338474240 is an apocalyptic number.

13338474240 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 13338474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844928000).

13338474240 is an abundant number, since it is smaller than the sum of its proper divisors (44351381760).

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

13338474240 is a wasteful number, since it uses less digits than its factorization.

13338474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

Subtracting from 13338474240 its reverse (4247483331), we obtain a palindrome (9090990909).

It can be divided in two parts, 13338 and 474240, that added together give a triangular number (487578 = T₉₈₇).

The spelling of 13338474240 in words is "thirteen billion, three hundred thirty-eight million, four hundred seventy-four thousand, two hundred forty".