313675241400 has 72 divisors (see below), whose sum is σ = 1053426025080. Its totient is φ = 83646730560.

The previous prime is 313675241381. The next prime is 313675241401. The reversal of 313675241400 is 4142576313.

313675241400 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 7 + 5 + 241 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313675241401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87130212 + ... + 87133811.

It is an arithmetic number, because the mean of its divisors is an integer number (14630917015).

Almost surely, 2^313675241400 is an apocalyptic number.

313675241400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313675241400 is an abundant number, since it is smaller than the sum of its proper divisors (739750783680).

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

313675241400 is a wasteful number, since it uses less digits than its factorization.

313675241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174264045 (or 174264033 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 313675241400 in words is "three hundred thirteen billion, six hundred seventy-five million, two hundred forty-one thousand, four hundred".