25414675440 has 960 divisors, whose sum is σ = 105886556160. Its totient is φ = 4926873600.

The previous prime is 25414675427. The next prime is 25414675469. The reversal of 25414675440 is 4457641452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25414675392 and 25414675401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233162106 + ... + 233162214.

It is an arithmetic number, because the mean of its divisors is an integer number (110298496).

Almost surely, 2^25414675440 is an apocalyptic number.

25414675440 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 25414675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52943278080).

25414675440 is an abundant number, since it is smaller than the sum of its proper divisors (80471880720).

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

25414675440 is a wasteful number, since it uses less digits than its factorization.

25414675440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 25414675440 in words is "twenty-five billion, four hundred fourteen million, six hundred seventy-five thousand, four hundred forty".