25423460400 has 240 divisors, whose sum is σ = 89845812000. Its totient is φ = 6105292800.

The previous prime is 25423460393. The next prime is 25423460401. The reversal of 25423460400 is 406432452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25423460401) 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, 619726 + ... + 659474.

It is an arithmetic number, because the mean of its divisors is an integer number (374357550).

Almost surely, 2^25423460400 is an apocalyptic number.

25423460400 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 25423460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44922906000).

25423460400 is an abundant number, since it is smaller than the sum of its proper divisors (64422351600).

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

25423460400 is a wasteful number, since it uses less digits than its factorization.

25423460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39824 (or 39813 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 25423460400 its reverse (406432452), we get a palindrome (25829892852).

The spelling of 25423460400 in words is "twenty-five billion, four hundred twenty-three million, four hundred sixty thousand, four hundred".