814147341400 has 48 divisors (see below), whose sum is σ = 1944051845040. Its totient is φ = 316857340800.

The previous prime is 814147341391. The next prime is 814147341401. The reversal of 814147341400 is 4143741418.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 814147341400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814147341401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55002556 + ... + 55017355.

It is an arithmetic number, because the mean of its divisors is an integer number (40501080105).

Almost surely, 2^814147341400 is an apocalyptic number.

It is an amenable number.

814147341400 is an abundant number, since it is smaller than the sum of its proper divisors (1129904503640).

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

814147341400 is a wasteful number, since it uses less digits than its factorization.

814147341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110019964 (or 110019955 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 814147341400 in words is "eight hundred fourteen billion, one hundred forty-seven million, three hundred forty-one thousand, four hundred".