25046461440 has 1408 divisors, whose sum is σ = 120171018240. Its totient is φ = 4777574400.

The previous prime is 25046461417. The next prime is 25046461481. The reversal of 25046461440 is 4416464052.

25046461440 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 646 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 25046461395 and 25046461404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138378150 + ... + 138378330.

Almost surely, 2^25046461440 is an apocalyptic number.

25046461440 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 25046461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60085509120).

25046461440 is an abundant number, since it is smaller than the sum of its proper divisors (95124556800).

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

25046461440 is a wasteful number, since it uses less digits than its factorization.

25046461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25046461440 in words is "twenty-five billion, forty-six million, four hundred sixty-one thousand, four hundred forty".