13740710405400 has 384 divisors, whose sum is σ = 51668210880000. Its totient is φ = 3328729689600.

The previous prime is 13740710405371. The next prime is 13740710405413. The reversal of 13740710405400 is 450401704731.

13740710405400 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 7 + 104 + 0 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84801661 + ... + 84963539.

It is an arithmetic number, because the mean of its divisors is an integer number (134552632500).

Almost surely, 2^{13740710405400} is an apocalyptic number.

13740710405400 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 13740710405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25834105440000).

13740710405400 is an abundant number, since it is smaller than the sum of its proper divisors (37927500474600).

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

13740710405400 is a wasteful number, since it uses less digits than its factorization.

13740710405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163344 (or 163329 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 13740710405400 in words is "thirteen trillion, seven hundred forty billion, seven hundred ten million, four hundred five thousand, four hundred".