25379101440 has 1620 divisors, whose sum is σ = 121181834928. Its totient is φ = 4963368960.

The previous prime is 25379101417. The next prime is 25379101493. The reversal of 25379101440 is 4410197352.

It is a tau number, because it is divible by the number of its divisors (1620).

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 = 25379101395 and 25379101404.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1492888312 + ... + 1492888328.

Almost surely, 2^25379101440 is an apocalyptic number.

25379101440 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 25379101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60590917464).

25379101440 is an abundant number, since it is smaller than the sum of its proper divisors (95802733488).

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

25379101440 is a wasteful number, since it uses less digits than its factorization.

25379101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 25379101440 its reverse (4410197352), we get a palindrome (29789298792).

The spelling of 25379101440 in words is "twenty-five billion, three hundred seventy-nine million, one hundred one thousand, four hundred forty".