25032401040 has 160 divisors (see below), whose sum is σ = 78623539200. Its totient is φ = 6587868672.

The previous prime is 25032401033. The next prime is 25032401063. The reversal of 25032401040 is 4010423052.

It is a super-2 number, since 2×25032401040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25032400998 and 25032401016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6063457 + ... + 6067583.

It is an arithmetic number, because the mean of its divisors is an integer number (491397120).

Almost surely, 2^25032401040 is an apocalyptic number.

25032401040 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 25032401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39311769600).

25032401040 is an abundant number, since it is smaller than the sum of its proper divisors (53591138160).

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

25032401040 is a wasteful number, since it uses less digits than its factorization.

25032401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 25032401040 its reverse (4010423052), we get a palindrome (29042824092).

The spelling of 25032401040 in words is "twenty-five billion, thirty-two million, four hundred one thousand, forty".