25029413640 has 1536 divisors, whose sum is σ = 116619264000. Its totient is φ = 4702924800.

The previous prime is 25029413603. The next prime is 25029413657. The reversal of 25029413640 is 4631492052.

It is a happy number.

25029413640 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 9 + 4 + 1 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25029413595 and 25029413604.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 342868644 + ... + 342868716.

It is an arithmetic number, because the mean of its divisors is an integer number (75924000).

Almost surely, 2^25029413640 is an apocalyptic number.

25029413640 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 25029413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58309632000).

25029413640 is an abundant number, since it is smaller than the sum of its proper divisors (91589850360).

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

25029413640 is a wasteful number, since it uses less digits than its factorization.

25029413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25029413640 in words is "twenty-five billion, twenty-nine million, four hundred thirteen thousand, six hundred forty".