416028720096 has 144 divisors (see below), whose sum is σ = 1297766918448. Its totient is φ = 125372620800.

The previous prime is 416028720049. The next prime is 416028720097. The reversal of 416028720096 is 690027820614.

It is a happy number.

416028720096 is a `hidden beast` number, since 4 + 160 + 287 + 200 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416028720097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210640 + ... + 936176.

It is an arithmetic number, because the mean of its divisors is an integer number (9012270267).

Almost surely, 2^416028720096 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 416028720096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648883459224).

416028720096 is an abundant number, since it is smaller than the sum of its proper divisors (881738198352).

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

416028720096 is a wasteful number, since it uses less digits than its factorization.

416028720096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725745 (or 725734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 416028720096 in words is "four hundred sixteen billion, twenty-eight million, seven hundred twenty thousand, ninety-six".