13774388040 has 768 divisors, whose sum is σ = 57708806400. Its totient is φ = 2903040000.

The previous prime is 13774388039. The next prime is 13774388081. The reversal of 13774388040 is 4088347731.

13774388040 is a `hidden beast` number, since 137 + 7 + 438 + 80 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 54877915 + ... + 54878165.

It is an arithmetic number, because the mean of its divisors is an integer number (75141675).

Almost surely, 2^13774388040 is an apocalyptic number.

13774388040 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 13774388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28854403200).

13774388040 is an abundant number, since it is smaller than the sum of its proper divisors (43934418360).

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

13774388040 is a wasteful number, since it uses less digits than its factorization.

13774388040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13774388040 in words is "thirteen billion, seven hundred seventy-four million, three hundred eighty-eight thousand, forty".