414149972544 has 1680 divisors, whose sum is σ = 1702786536000. Its totient is φ = 98029854720.

The previous prime is 414149972527. The next prime is 414149972557. The reversal of 414149972544 is 445279941414.

414149972544 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 9 + 97 + 2 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1539590842 + ... + 1539591110.

Almost surely, 2^414149972544 is an apocalyptic number.

414149972544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414149972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851393268000).

414149972544 is an abundant number, since it is smaller than the sum of its proper divisors (1288636563456).

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

414149972544 is a wasteful number, since it uses less digits than its factorization.

414149972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 414149972544 in words is "four hundred fourteen billion, one hundred forty-nine million, nine hundred seventy-two thousand, five hundred forty-four".