416007790016 has 224 divisors, whose sum is σ = 1025111162880. Its totient is φ = 163109376000.

The previous prime is 416007790013. The next prime is 416007790063. The reversal of 416007790016 is 610097700614.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416007790013) 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, 361431041 + ... + 361432191.

It is an arithmetic number, because the mean of its divisors is an integer number (4576389120).

Almost surely, 2^416007790016 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 416007790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512555581440).

416007790016 is an abundant number, since it is smaller than the sum of its proper divisors (609103372864).

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

416007790016 is a wasteful number, since it uses less digits than its factorization.

416007790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 416007790016 in words is "four hundred sixteen billion, seven million, seven hundred ninety thousand, sixteen".