25341458040900 has 81 divisors (see below), whose sum is σ = 79431865739863. Its totient is φ = 6757681872000.

The previous prime is 25341458040883. The next prime is 25341458040907. The reversal of 25341458040900 is 904085414352.

The square root of 25341458040900 is 5034030.

It is a perfect power (a square), and thus also a powerful number.

25341458040900 is a `hidden beast` number, since 2 + 53 + 4 + 14 + 580 + 4 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14596541173764 + 10744916867136 = 3820542^2 + 3277944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25341458040907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 150937000 + ... + 151104800.

Almost surely, 2^{25341458040900} is an apocalyptic number.

25341458040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25341458040900 is the 5034030-th square number.

It is an amenable number.

25341458040900 is an abundant number, since it is smaller than the sum of its proper divisors (54090407698963).

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

25341458040900 is an frugal number, since it uses more digits than its factorization.

25341458040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335622 (or 167811 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25341458040900 in words is "twenty-five trillion, three hundred forty-one billion, four hundred fifty-eight million, forty thousand, nine hundred".