13030742400 has 384 divisors, whose sum is σ = 46546916640. Its totient is φ = 3185049600.

The previous prime is 13030742383. The next prime is 13030742407. The reversal of 13030742400 is 424703031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030742407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24086130 + ... + 24086670.

Almost surely, 2^13030742400 is an apocalyptic number.

13030742400 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 13030742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23273458320).

13030742400 is an abundant number, since it is smaller than the sum of its proper divisors (33516174240).

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

13030742400 is a wasteful number, since it uses less digits than its factorization.

13030742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 13030742400 in words is "thirteen billion, thirty million, seven hundred forty-two thousand, four hundred".