414973748448 has 72 divisors (see below), whose sum is σ = 1348664689008. Its totient is φ = 118563927552.

The previous prime is 414973748407. The next prime is 414973748459. The reversal of 414973748448 is 844847379414.

It is a happy number.

414973748448 is a `hidden beast` number, since 4 + 1 + 49 + 73 + 7 + 484 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102918061 + ... + 102922092.

It is an arithmetic number, because the mean of its divisors is an integer number (18731454014).

Almost surely, 2^414973748448 is an apocalyptic number.

414973748448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414973748448 is an abundant number, since it is smaller than the sum of its proper divisors (933690940560).

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

414973748448 is a wasteful number, since it uses less digits than its factorization.

414973748448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205840176 (or 205840165 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 414973748448 in words is "four hundred fourteen billion, nine hundred seventy-three million, seven hundred forty-eight thousand, four hundred forty-eight".