240533325005440 has 32 divisors (see below), whose sum is σ = 575024980092660. Its totient is φ = 96213330001920.

The previous prime is 240533325005359. The next prime is 240533325005521. The reversal of 240533325005440 is 44500523335042.

It is an interprime number because it is at equal distance from previous prime (240533325005359) and next prime (240533325005521).

It can be written as a sum of positive squares in 2 ways, for example, as 236463938683456 + 4069386321984 = 15377384^2 + 2017272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 240533325005393 and 240533325005402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187916659521 + ... + 187916660800.

Almost surely, 2^{240533325005440} is an apocalyptic number.

240533325005440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240533325005440 is an abundant number, since it is smaller than the sum of its proper divisors (334491655087220).

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

240533325005440 is an equidigital number, since it uses as much as digits as its factorization.

240533325005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375833320340 (or 375833320328 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 240533325005440 in words is "two hundred forty trillion, five hundred thirty-three billion, three hundred twenty-five million, five thousand, four hundred forty".