416208252096 has 448 divisors, whose sum is σ = 1509755842560. Its totient is φ = 109491056640.

The previous prime is 416208252091. The next prime is 416208252107. The reversal of 416208252096 is 690252802614.

416208252096 is a `hidden beast` number, since 4 + 16 + 20 + 8 + 2 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×416208252096² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416208252091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66198265 + ... + 66204551.

It is an arithmetic number, because the mean of its divisors is an integer number (3369990720).

Almost surely, 2^416208252096 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 416208252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754877921280).

416208252096 is an abundant number, since it is smaller than the sum of its proper divisors (1093547590464).

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

416208252096 is a wasteful number, since it uses less digits than its factorization.

416208252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 416208252096 in words is "four hundred sixteen billion, two hundred eight million, two hundred fifty-two thousand, ninety-six".