414148334496 has 96 divisors (see below), whose sum is σ = 1172327079168. Its totient is φ = 127260288000.

The previous prime is 414148334471. The next prime is 414148334513. The reversal of 414148334496 is 694433841414.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716310 + ... + 1158186.

It is an arithmetic number, because the mean of its divisors is an integer number (12211740408).

Almost surely, 2^414148334496 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 414148334496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586163539584).

414148334496 is an abundant number, since it is smaller than the sum of its proper divisors (758178744672).

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

414148334496 is a wasteful number, since it uses less digits than its factorization.

414148334496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442654 (or 442646 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 414148334496 in words is "four hundred fourteen billion, one hundred forty-eight million, three hundred thirty-four thousand, four hundred ninety-six".