264332236135040 has 128 divisors (see below), whose sum is σ = 637854808060800. Its totient is φ = 104740175941632.

The previous prime is 264332236135027. The next prime is 264332236135067. The reversal of 264332236135040 is 40531632233462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 264332236134982 and 264332236135000.

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, 323487629 + ... + 324303731.

It is an arithmetic number, because the mean of its divisors is an integer number (4983240687975).

Almost surely, 2^{264332236135040} is an apocalyptic number.

264332236135040 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 264332236135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318927404030400).

264332236135040 is an abundant number, since it is smaller than the sum of its proper divisors (373522571925760).

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

264332236135040 is a wasteful number, since it uses less digits than its factorization.

264332236135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820874 (or 820862 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 44.

The spelling of 264332236135040 in words is "two hundred sixty-four trillion, three hundred thirty-two billion, two hundred thirty-six million, one hundred thirty-five thousand, forty".