15049742400 has 1008 divisors, whose sum is σ = 68295926400. Its totient is φ = 3115929600.

The previous prime is 15049742399. The next prime is 15049742431. The reversal of 15049742400 is 424794051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54331062 + ... + 54331338.

Almost surely, 2^15049742400 is an apocalyptic number.

15049742400 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 15049742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34147963200).

15049742400 is an abundant number, since it is smaller than the sum of its proper divisors (53246184000).

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

15049742400 is a wasteful number, since it uses less digits than its factorization.

15049742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 15049742400 in words is "fifteen billion, forty-nine million, seven hundred forty-two thousand, four hundred".