25042427202240 has 336 divisors, whose sum is σ = 98447940751680. Its totient is φ = 5723555880960.

The previous prime is 25042427202167. The next prime is 25042427202319. The reversal of 25042427202240 is 4220272424052.

25042427202240 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 2 + 427 + 2 + 0 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×25042427202240² (a number of 28 digits) contains 22 as substring.

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 = 25042427202195 and 25042427202204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327138370 + ... + 327214910.

Almost surely, 2^{25042427202240} is an apocalyptic number.

25042427202240 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 25042427202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49223970375840).

25042427202240 is an abundant number, since it is smaller than the sum of its proper divisors (73405513549440).

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

25042427202240 is a wasteful number, since it uses less digits than its factorization.

25042427202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92800 (or 92787 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

Adding to 25042427202240 its reverse (4220272424052), we get a palindrome (29262699626292).

The spelling of 25042427202240 in words is "twenty-five trillion, forty-two billion, four hundred twenty-seven million, two hundred two thousand, two hundred forty".