414250040268 has 144 divisors (see below), whose sum is σ = 1157240448000. Its totient is φ = 129269188224.

The previous prime is 414250040261. The next prime is 414250040297. The reversal of 414250040268 is 862040052414.

414250040268 is a `hidden beast` number, since 4 + 142 + 50 + 0 + 402 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (414250040261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853608 + ... + 1247856.

It is an arithmetic number, because the mean of its divisors is an integer number (8036392000).

Almost surely, 2^414250040268 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 414250040268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578620224000).

414250040268 is an abundant number, since it is smaller than the sum of its proper divisors (742990407732).

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

414250040268 is a wasteful number, since it uses less digits than its factorization.

414250040268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394338 (or 394324 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 414250040268 in words is "four hundred fourteen billion, two hundred fifty million, forty thousand, two hundred sixty-eight".