25440333100 has 144 divisors (see below), whose sum is σ = 71521811200. Its totient is φ = 7627633920.

The previous prime is 25440333073. The next prime is 25440333103. The reversal of 25440333100 is 133304452.

It is a super-2 number, since 2×25440333100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25440333103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99331 + ... + 246469.

Almost surely, 2^25440333100 is an apocalyptic number.

25440333100 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 25440333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35760905600).

25440333100 is an abundant number, since it is smaller than the sum of its proper divisors (46081478100).

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

25440333100 is a wasteful number, since it uses less digits than its factorization.

25440333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147192 (or 147185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 25440333100 its reverse (133304452), we get a palindrome (25573637552).

The spelling of 25440333100 in words is "twenty-five billion, four hundred forty million, three hundred thirty-three thousand, one hundred".