25340110400 has 336 divisors, whose sum is σ = 69949088448. Its totient is φ = 9032601600.

The previous prime is 25340110387. The next prime is 25340110421. The reversal of 25340110400 is 401104352.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 155460719 + ... + 155460881.

Almost surely, 2^25340110400 is an apocalyptic number.

25340110400 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 25340110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34974544224).

25340110400 is an abundant number, since it is smaller than the sum of its proper divisors (44608978048).

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

25340110400 is a wasteful number, since it uses less digits than its factorization.

25340110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 25340110400 its reverse (401104352), we get a palindrome (25741214752).

The spelling of 25340110400 in words is "twenty-five billion, three hundred forty million, one hundred ten thousand, four hundred".