25333321440 has 192 divisors, whose sum is σ = 93061785600. Its totient is φ = 5790435840.

The previous prime is 25333321417. The next prime is 25333321451. The reversal of 25333321440 is 4412333352.

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 = 25333321398 and 25333321407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87705 + ... + 241575.

It is an arithmetic number, because the mean of its divisors is an integer number (484696800).

Almost surely, 2^25333321440 is an apocalyptic number.

25333321440 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 25333321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46530892800).

25333321440 is an abundant number, since it is smaller than the sum of its proper divisors (67728464160).

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

25333321440 is a wasteful number, since it uses less digits than its factorization.

25333321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153910 (or 153888 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 25333321440 its reverse (4412333352), we get a palindrome (29745654792).

The spelling of 25333321440 in words is "twenty-five billion, three hundred thirty-three million, three hundred twenty-one thousand, four hundred forty".