313432404240 has 160 divisors (see below), whose sum is σ = 994731154560. Its totient is φ = 81597616128.

The previous prime is 313432404239. The next prime is 313432404277. The reversal of 313432404240 is 42404234313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313432404198 and 313432404207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24648124 + ... + 24660836.

It is an arithmetic number, because the mean of its divisors is an integer number (6217069716).

Almost surely, 2^313432404240 is an apocalyptic number.

313432404240 is a gapful number since it is divisible by the number (30) 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 313432404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497365577280).

313432404240 is an abundant number, since it is smaller than the sum of its proper divisors (681298750320).

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

313432404240 is a wasteful number, since it uses less digits than its factorization.

313432404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15161 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 313432404240 its reverse (42404234313), we get a palindrome (355836638553).

The spelling of 313432404240 in words is "three hundred thirteen billion, four hundred thirty-two million, four hundred four thousand, two hundred forty".