414953938440 has 96 divisors (see below), whose sum is σ = 1349026660800. Its totient is φ = 110619400320.

The previous prime is 414953938423. The next prime is 414953938463. The reversal of 414953938440 is 44839359414.

414953938440 is a `hidden beast` number, since 4 + 1 + 495 + 39 + 3 + 84 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968151 + ... + 1329369.

It is an arithmetic number, because the mean of its divisors is an integer number (14052361050).

Almost surely, 2^414953938440 is an apocalyptic number.

414953938440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414953938440 is an abundant number, since it is smaller than the sum of its proper divisors (934072722360).

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

414953938440 is a wasteful number, since it uses less digits than its factorization.

414953938440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364427 (or 364420 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 414953938440 in words is "four hundred fourteen billion, nine hundred fifty-three million, nine hundred thirty-eight thousand, four hundred forty".