25413642144 has 144 divisors (see below), whose sum is σ = 79538868864. Its totient is φ = 7632844800.

The previous prime is 25413642061. The next prime is 25413642157. The reversal of 25413642144 is 44124631452.

25413642144 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 3 + 642 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 25413642099 and 25413642108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322489 + ... + 393479.

It is an arithmetic number, because the mean of its divisors is an integer number (552353256).

Almost surely, 2^25413642144 is an apocalyptic number.

25413642144 is a gapful number since it is divisible by the number (24) 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 25413642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39769434432).

25413642144 is an abundant number, since it is smaller than the sum of its proper divisors (54125226720).

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

25413642144 is a wasteful number, since it uses less digits than its factorization.

25413642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71131 (or 71120 counting only the distinct ones).

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

The spelling of 25413642144 in words is "twenty-five billion, four hundred thirteen million, six hundred forty-two thousand, one hundred forty-four".