25201077440 has 336 divisors, whose sum is σ = 79500130560. Its totient is φ = 7390740480.

The previous prime is 25201077409. The next prime is 25201077497. The reversal of 25201077440 is 4477010252.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 25201077397 and 25201077406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7119191 + ... + 7122729.

Almost surely, 2^25201077440 is an apocalyptic number.

25201077440 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 25201077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750065280).

25201077440 is an abundant number, since it is smaller than the sum of its proper divisors (54299053120).

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

25201077440 is a wasteful number, since it uses less digits than its factorization.

25201077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

Adding to 25201077440 its reverse (4477010252), we get a palindrome (29678087692).

The spelling of 25201077440 in words is "twenty-five billion, two hundred one million, seventy-seven thousand, four hundred forty".