414950948000 has 48 divisors (see below), whose sum is σ = 1019534489064. Its totient is φ = 165980377600.

The previous prime is 414950947993. The next prime is 414950948003. The reversal of 414950948000 is 849059414.

It can be written as a sum of positive squares in 4 ways, for example, as 73226524816 + 341724423184 = 270604^2 + 584572^2 .

It is not an unprimeable number, because it can be changed into a prime (414950948003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51864869 + ... + 51872868.

Almost surely, 2^414950948000 is an apocalyptic number.

414950948000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414950948000 is an abundant number, since it is smaller than the sum of its proper divisors (604583541064).

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

414950948000 is a wasteful number, since it uses less digits than its factorization.

414950948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103737762 (or 103737744 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 414950948000 in words is "four hundred fourteen billion, nine hundred fifty million, nine hundred forty-eight thousand".