314402001100 has 144 divisors (see below), whose sum is σ = 757089043200. Its totient is φ = 112376160000.

The previous prime is 314402001091. The next prime is 314402001107. The reversal of 314402001100 is 1100204413.

It is not an unprimeable number, because it can be changed into a prime (314402001107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15432721 + ... + 15453079.

It is an arithmetic number, because the mean of its divisors is an integer number (5257562800).

Almost surely, 2^314402001100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314402001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378544521600).

314402001100 is an abundant number, since it is smaller than the sum of its proper divisors (442687042100).

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

314402001100 is a wasteful number, since it uses less digits than its factorization.

314402001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20624 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 314402001100 its reverse (1100204413), we get a palindrome (315502205513).

The spelling of 314402001100 in words is "three hundred fourteen billion, four hundred two million, one thousand, one hundred".