981408440025 has 288 divisors, whose sum is σ = 2052273979392. Its totient is φ = 444342412800.

The previous prime is 981408440017. The next prime is 981408440027. The reversal of 981408440025 is 520044804189.

981408440025 is a `hidden beast` number, since 9 + 8 + 140 + 84 + 400 + 25 = 666.

It is not a de Polignac number, because 981408440025 - 2³ = 981408440017 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (981408440027) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 339939132 + ... + 339942018.

Almost surely, 2^981408440025 is an apocalyptic number.

It is an amenable number.

981408440025 is an abundant number, since it is smaller than the sum of its proper divisors (1070865539367).

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

981408440025 is a wasteful number, since it uses less digits than its factorization.

981408440025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 981408440025 in words is "nine hundred eighty-one billion, four hundred eight million, four hundred forty thousand, twenty-five".