25116142440 has 256 divisors, whose sum is σ = 79982380800. Its totient is φ = 6301900800.

The previous prime is 25116142417. The next prime is 25116142451. The reversal of 25116142440 is 4424161152.

It is a super-2 number, since 2×25116142440² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 25116142398 and 25116142407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15905571 + ... + 15907149.

It is an arithmetic number, because the mean of its divisors is an integer number (312431175).

Almost surely, 2^25116142440 is an apocalyptic number.

25116142440 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 25116142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39991190400).

25116142440 is an abundant number, since it is smaller than the sum of its proper divisors (54866238360).

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

25116142440 is a wasteful number, since it uses less digits than its factorization.

25116142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 25116142440 in words is "twenty-five billion, one hundred sixteen million, one hundred forty-two thousand, four hundred forty".