313414110020040 has 128 divisors (see below), whose sum is σ = 946935940504320. Its totient is φ = 82984199782400.

The previous prime is 313414110020029. The next prime is 313414110020069. The reversal of 313414110020040 is 40020011414313.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6747321 + ... + 25929800.

It is an arithmetic number, because the mean of its divisors is an integer number (7397937035190).

Almost surely, 2^{313414110020040} is an apocalyptic number.

313414110020040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313414110020040 is an abundant number, since it is smaller than the sum of its proper divisors (633521830484280).

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

313414110020040 is a wasteful number, since it uses less digits than its factorization.

313414110020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32677703 (or 32677699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 313414110020040 its reverse (40020011414313), we get a palindrome (353434121434353).

The spelling of 313414110020040 in words is "three hundred thirteen trillion, four hundred fourteen billion, one hundred ten million, twenty thousand, forty".