25429394400 has 144 divisors (see below), whose sum is σ = 84008623104. Its totient is φ = 6679918080.

The previous prime is 25429394399. The next prime is 25429394429. The reversal of 25429394400 is 449392452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81729 + ... + 239871.

It is an arithmetic number, because the mean of its divisors is an integer number (583393216).

Almost surely, 2^25429394400 is an apocalyptic number.

25429394400 is a gapful number since it is divisible by the number (20) 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 25429394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004311552).

25429394400 is an abundant number, since it is smaller than the sum of its proper divisors (58579228704).

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

25429394400 is a wasteful number, since it uses less digits than its factorization.

25429394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158233 (or 158220 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 25429394400 in words is "twenty-five billion, four hundred twenty-nine million, three hundred ninety-four thousand, four hundred".