416354727360 has 1008 divisors, whose sum is σ = 1595280089088. Its totient is φ = 91883151360.

The previous prime is 416354727259. The next prime is 416354727361. The reversal of 416354727360 is 63727453614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416354727361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2493141997 + ... + 2493142163.

It is an arithmetic number, because the mean of its divisors is an integer number (1582619136).

Almost surely, 2^416354727360 is an apocalyptic number.

416354727360 is a gapful number since it is divisible by the number (40) 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 416354727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797640044544).

416354727360 is an abundant number, since it is smaller than the sum of its proper divisors (1178925361728).

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

416354727360 is a wasteful number, since it uses less digits than its factorization.

416354727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 416354727360 in words is "four hundred sixteen billion, three hundred fifty-four million, seven hundred twenty-seven thousand, three hundred sixty".