416204749288272 has 160 divisors (see below), whose sum is σ = 1240757959487488. Its totient is φ = 117757995706368.

The previous prime is 416204749288271. The next prime is 416204749288283. The reversal of 416204749288272 is 272882947402614.

It is a super-2 number, since 2×416204749288272² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416204749288271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509913053 + ... + 1510188675.

Almost surely, 2^{416204749288272} is an apocalyptic number.

416204749288272 is a gapful number since it is divisible by the number (42) 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 416204749288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620378979743744).

416204749288272 is an abundant number, since it is smaller than the sum of its proper divisors (824553210199216).

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

416204749288272 is a wasteful number, since it uses less digits than its factorization.

416204749288272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319377 (or 319371 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 66.

The spelling of 416204749288272 in words is "four hundred sixteen trillion, two hundred four billion, seven hundred forty-nine million, two hundred eighty-eight thousand, two hundred seventy-two".