264007138340 has 48 divisors (see below), whose sum is σ = 615067508160. Its totient is φ = 94375428480.

The previous prime is 264007138319. The next prime is 264007138357. The reversal of 264007138340 is 43831700462.

It is a junction number, because it is equal to n+sod(n) for n = 264007138294 and 264007138303.

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, 10156787 + ... + 10182746.

It is an arithmetic number, because the mean of its divisors is an integer number (12813906420).

Almost surely, 2^264007138340 is an apocalyptic number.

264007138340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264007138340 is an abundant number, since it is smaller than the sum of its proper divisors (351060369820).

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

264007138340 is a wasteful number, since it uses less digits than its factorization.

264007138340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339612 (or 20339610 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 264007138340 in words is "two hundred sixty-four billion, seven million, one hundred thirty-eight thousand, three hundred forty".