13742590400 has 336 divisors, whose sum is σ = 42412261632. Its totient is φ = 4257792000.

The previous prime is 13742590397. The next prime is 13742590469. The reversal of 13742590400 is 409524731.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40779032 + ... + 40779368.

Almost surely, 2^13742590400 is an apocalyptic number.

13742590400 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 13742590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21206130816).

13742590400 is an abundant number, since it is smaller than the sum of its proper divisors (28669671232).

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

13742590400 is a wasteful number, since it uses less digits than its factorization.

13742590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 13742590400 in words is "thirteen billion, seven hundred forty-two million, five hundred ninety thousand, four hundred".