25132401840 has 480 divisors, whose sum is σ = 100769550336. Its totient is φ = 5130639360.

The previous prime is 25132401787. The next prime is 25132401859. The reversal of 25132401840 is 4810423152.

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 = 25132401798 and 25132401807.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4736629 + ... + 4741931.

Almost surely, 2^25132401840 is an apocalyptic number.

25132401840 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 25132401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50384775168).

25132401840 is an abundant number, since it is smaller than the sum of its proper divisors (75637148496).

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

25132401840 is a wasteful number, since it uses less digits than its factorization.

25132401840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5364 counting only the distinct ones).

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

Adding to 25132401840 its reverse (4810423152), we get a palindrome (29942824992).

The spelling of 25132401840 in words is "twenty-five billion, one hundred thirty-two million, four hundred one thousand, eight hundred forty".