25040646144 has 156 divisors (see below), whose sum is σ = 74017611096. Its totient is φ = 8152252416.

The previous prime is 25040646133. The next prime is 25040646167. The reversal of 25040646144 is 44164604052.

25040646144 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 0 + 646 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25040646099 and 25040646108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1577254 + ... + 1593050.

It is an arithmetic number, because the mean of its divisors is an integer number (474471866).

Almost surely, 2^25040646144 is an apocalyptic number.

25040646144 is a gapful number since it is divisible by the number (24) 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 25040646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37008805548).

25040646144 is an abundant number, since it is smaller than the sum of its proper divisors (48976964952).

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

25040646144 is a wasteful number, since it uses less digits than its factorization.

25040646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870 (or 15845 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25040646144 in words is "twenty-five billion, forty million, six hundred forty-six thousand, one hundred forty-four".