264432300040240 has 80 divisors (see below), whose sum is σ = 617876494810848. Its totient is φ = 105245143943168.

The previous prime is 264432300040231. The next prime is 264432300040373. The reversal of 264432300040240 is 42040003234462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×264432300040240³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264432300040196 and 264432300040205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21628614 + ... + 31569946.

Almost surely, 2^{264432300040240} is an apocalyptic number.

264432300040240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264432300040240 is an abundant number, since it is smaller than the sum of its proper divisors (353444194770608).

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

264432300040240 is a wasteful number, since it uses less digits than its factorization.

264432300040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943006 (or 9943000 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

The spelling of 264432300040240 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, three hundred million, forty thousand, two hundred forty".