13768117440 has 448 divisors, whose sum is σ = 57374576640. Its totient is φ = 2710056960.

The previous prime is 13768117373. The next prime is 13768117481. The reversal of 13768117440 is 4471186731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13768117440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13768117392 and 13768117401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1399579 + ... + 1409381.

Almost surely, 2^13768117440 is an apocalyptic number.

13768117440 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 13768117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687288320).

13768117440 is an abundant number, since it is smaller than the sum of its proper divisors (43606459200).

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

13768117440 is a wasteful number, since it uses less digits than its factorization.

13768117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 13768117440 in words is "thirteen billion, seven hundred sixty-eight million, one hundred seventeen thousand, four hundred forty".