25421513040 has 1440 divisors, whose sum is σ = 120193092864. Its totient is φ = 4837294080.

The previous prime is 25421512943. The next prime is 25421513053. The reversal of 25421513040 is 4031512452.

25421513040 is a `hidden beast` number, since 2 + 542 + 1 + 51 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25421512995 and 25421513013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 687067902 + ... + 687067938.

Almost surely, 2^25421513040 is an apocalyptic number.

25421513040 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 25421513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60096546432).

25421513040 is an abundant number, since it is smaller than the sum of its proper divisors (94771579824).

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

25421513040 is a wasteful number, since it uses less digits than its factorization.

25421513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 25421513040 in words is "twenty-five billion, four hundred twenty-one million, five hundred thirteen thousand, forty".