25405940460 has 96 divisors (see below), whose sum is σ = 71752407552. Its totient is φ = 6716492800.

The previous prime is 25405940453. The next prime is 25405940467. The reversal of 25405940460 is 6404950452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25405940453) and next prime (25405940467).

It is not an unprimeable number, because it can be changed into a prime (25405940467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4014859 + ... + 4021181.

It is an arithmetic number, because the mean of its divisors is an integer number (747420912).

Almost surely, 2^25405940460 is an apocalyptic number.

25405940460 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 25405940460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35876203776).

25405940460 is an abundant number, since it is smaller than the sum of its proper divisors (46346467092).

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

25405940460 is a wasteful number, since it uses less digits than its factorization.

25405940460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 25405940460 in words is "twenty-five billion, four hundred five million, nine hundred forty thousand, four hundred sixty".