416697730740 has 216 divisors, whose sum is σ = 1364730719352. Its totient is φ = 102867701760.

The previous prime is 416697730619. The next prime is 416697730751. The reversal of 416697730740 is 47037796614.

416697730740 is a `hidden beast` number, since 416 + 6 + 97 + 73 + 0 + 74 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 139318548516 + 277379182224 = 373254^2 + 526668^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3107562 + ... + 3238878.

Almost surely, 2^416697730740 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 416697730740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682365359676).

416697730740 is an abundant number, since it is smaller than the sum of its proper divisors (948032988612).

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

416697730740 is a wasteful number, since it uses less digits than its factorization.

416697730740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131427 (or 131405 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 416697730740 in words is "four hundred sixteen billion, six hundred ninety-seven million, seven hundred thirty thousand, seven hundred forty".