13736890440 has 320 divisors, whose sum is σ = 56827330560. Its totient is φ = 2898270720.

The previous prime is 13736890423. The next prime is 13736890451. The reversal of 13736890440 is 4409863731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271545 + ... + 318135.

It is an arithmetic number, because the mean of its divisors is an integer number (177585408).

Almost surely, 2^13736890440 is an apocalyptic number.

13736890440 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 13736890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413665280).

13736890440 is an abundant number, since it is smaller than the sum of its proper divisors (43090440120).

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

13736890440 is a wasteful number, since it uses less digits than its factorization.

13736890440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46634 (or 46621 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13736890440 in words is "thirteen billion, seven hundred thirty-six million, eight hundred ninety thousand, four hundred forty".