13738429440 has 440 divisors, whose sum is σ = 49779142512. Its totient is φ = 3622993920.

The previous prime is 13738429403. The next prime is 13738429447. The reversal of 13738429440 is 4492483731.

13738429440 is a `hidden beast` number, since 137 + 38 + 42 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13738429447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65110935 + ... + 65111145.

Almost surely, 2^13738429440 is an apocalyptic number.

13738429440 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 13738429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889571256).

13738429440 is an abundant number, since it is smaller than the sum of its proper divisors (36040713072).

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

13738429440 is a wasteful number, since it uses less digits than its factorization.

13738429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13738429440 in words is "thirteen billion, seven hundred thirty-eight million, four hundred twenty-nine thousand, four hundred forty".