414200401300 has 144 divisors (see below), whose sum is σ = 1086564955392. Its totient is φ = 133975987200.

The previous prime is 414200401291. The next prime is 414200401327. The reversal of 414200401300 is 3104002414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999090 + ... + 1351510.

It is an arithmetic number, because the mean of its divisors is an integer number (7545589968).

Almost surely, 2^414200401300 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 414200401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543282477696).

414200401300 is an abundant number, since it is smaller than the sum of its proper divisors (672364554092).

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

414200401300 is a wasteful number, since it uses less digits than its factorization.

414200401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352538 (or 352531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 414200401300 its reverse (3104002414), we get a palindrome (417304403714).

The spelling of 414200401300 in words is "four hundred fourteen billion, two hundred million, four hundred one thousand, three hundred".