414133050213300 has 576 divisors, whose sum is σ = 1396916295634944. Its totient is φ = 93800217139200.

The previous prime is 414133050213299. The next prime is 414133050213331. The reversal of 414133050213300 is 3312050331414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303470299 + ... + 304831901.

It is an arithmetic number, because the mean of its divisors is an integer number (2425201902144).

Almost surely, 2^{414133050213300} 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 414133050213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698458147817472).

414133050213300 is an abundant number, since it is smaller than the sum of its proper divisors (982783245421644).

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

414133050213300 is a wasteful number, since it uses less digits than its factorization.

414133050213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361768 (or 1361761 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 414133050213300 in words is "four hundred fourteen trillion, one hundred thirty-three billion, fifty million, two hundred thirteen thousand, three hundred".