25011641440 has 96 divisors (see below), whose sum is σ = 61316994816. Its totient is φ = 9634168320.

The previous prime is 25011641437. The next prime is 25011641443. The reversal of 25011641440 is 4414611052.

It is an interprime number because it is at equal distance from previous prime (25011641437) and next prime (25011641443).

It is a junction number, because it is equal to n+sod(n) for n = 25011641399 and 25011641408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25011641443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462879 + ... + 514081.

It is an arithmetic number, because the mean of its divisors is an integer number (638718696).

Almost surely, 2^25011641440 is an apocalyptic number.

25011641440 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 25011641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30658497408).

25011641440 is an abundant number, since it is smaller than the sum of its proper divisors (36305353376).

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

25011641440 is a wasteful number, since it uses less digits than its factorization.

25011641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51332 (or 51324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 25011641440 in words is "twenty-five billion, eleven million, six hundred forty-one thousand, four hundred forty".