25542400741 has 72 divisors (see below), whose sum is σ = 31868777976. Its totient is φ = 20329056000.

The previous prime is 25542400727. The next prime is 25542400747. The reversal of 25542400741 is 14700424552.

It can be written as a sum of positive squares in 4 ways, for example, as 1995498241 + 23546902500 = 44671^2 + 153450^2 .

It is not a de Polignac number, because 25542400741 - 2⁷ = 25542400613 is a prime.

It is a super-2 number, since 2×25542400741² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25542400697 and 25542400706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25542400747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92210695 + ... + 92210971.

Almost surely, 2^25542400741 is an apocalyptic number.

It is an amenable number.

25542400741 is a deficient number, since it is larger than the sum of its proper divisors (6326377235).

25542400741 is a wasteful number, since it uses less digits than its factorization.

25542400741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

The spelling of 25542400741 in words is "twenty-five billion, five hundred forty-two million, four hundred thousand, seven hundred forty-one".