416002022146260 has 288 divisors, whose sum is σ = 1395508209338880. Its totient is φ = 99463039948800.

The previous prime is 416002022146253. The next prime is 416002022146313. The reversal of 416002022146260 is 62641220200614.

416002022146260 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 0 + 2 + 0 + 2 + 21 + 4 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4174120830 + ... + 4174220490.

It is an arithmetic number, because the mean of its divisors is an integer number (4845514615760).

Almost surely, 2^{416002022146260} 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 416002022146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697754104669440).

416002022146260 is an abundant number, since it is smaller than the sum of its proper divisors (979506187192620).

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

416002022146260 is a wasteful number, since it uses less digits than its factorization.

416002022146260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128639 (or 128634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 416002022146260 its reverse (62641220200614), we get a palindrome (478643242346874).

The spelling of 416002022146260 in words is "four hundred sixteen trillion, two billion, twenty-two million, one hundred forty-six thousand, two hundred sixty".