13746411840 has 896 divisors, whose sum is σ = 56929812480. Its totient is φ = 2737152000.

The previous prime is 13746411739. The next prime is 13746411841. The reversal of 13746411840 is 4811464731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746411841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91035765 + ... + 91035915.

Almost surely, 2^13746411840 is an apocalyptic number.

13746411840 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 13746411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28464906240).

13746411840 is an abundant number, since it is smaller than the sum of its proper divisors (43183400640).

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

13746411840 is a wasteful number, since it uses less digits than its factorization.

13746411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 13746411840 in words is "thirteen billion, seven hundred forty-six million, four hundred eleven thousand, eight hundred forty".