25407721256040 has 384 divisors, whose sum is σ = 90168361920000. Its totient is φ = 6182962606080.

The previous prime is 25407721256009. The next prime is 25407721256077. The reversal of 25407721256040 is 4065212770452.

25407721256040 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 7 + 72 + 12 + 560 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21581346 + ... + 22728174.

It is an arithmetic number, because the mean of its divisors is an integer number (234813442500).

Almost surely, 2^{25407721256040} is an apocalyptic number.

25407721256040 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 25407721256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084180960000).

25407721256040 is an abundant number, since it is smaller than the sum of its proper divisors (64760640663960).

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

25407721256040 is a wasteful number, since it uses less digits than its factorization.

25407721256040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146985 (or 1146978 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 25407721256040 in words is "twenty-five trillion, four hundred seven billion, seven hundred twenty-one million, two hundred fifty-six thousand, forty".