25542346440 has 128 divisors (see below), whose sum is σ = 82865059200. Its totient is φ = 6261166080.

The previous prime is 25542346421. The next prime is 25542346463. The reversal of 25542346440 is 4464324552.

It is a happy number.

It is a super-2 number, since 2×25542346440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 341991 + ... + 409929.

It is an arithmetic number, because the mean of its divisors is an integer number (647383275).

Almost surely, 2^25542346440 is an apocalyptic number.

25542346440 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 25542346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41432529600).

25542346440 is an abundant number, since it is smaller than the sum of its proper divisors (57322712760).

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

25542346440 is a wasteful number, since it uses less digits than its factorization.

25542346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68207 (or 68203 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 25542346440 in words is "twenty-five billion, five hundred forty-two million, three hundred forty-six thousand, four hundred forty".