25413743040 has 448 divisors, whose sum is σ = 96951174144. Its totient is φ = 5518098432.

The previous prime is 25413743029. The next prime is 25413743041. The reversal of 25413743040 is 4034731452.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×25413743040³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25413742992 and 25413743010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25413743041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10690332 + ... + 10692708.

Almost surely, 2^25413743040 is an apocalyptic number.

25413743040 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 25413743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48475587072).

25413743040 is an abundant number, since it is smaller than the sum of its proper divisors (71537431104).

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

25413743040 is a wasteful number, since it uses less digits than its factorization.

25413743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 25413743040 in words is "twenty-five billion, four hundred thirteen million, seven hundred forty-three thousand, forty".