416998380960 has 840 divisors, whose sum is σ = 1724294087460. Its totient is φ = 95249903616.

The previous prime is 416998380917. The next prime is 416998380973. The reversal of 416998380960 is 69083899614.

It is a happy number.

416998380960 is a `hidden beast` number, since 4 + 169 + 9 + 8 + 380 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 396582543504 + 20415837456 = 629748^2 + 142884^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×416998380960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 280051896 + ... + 280053384.

Almost surely, 2^416998380960 is an apocalyptic number.

416998380960 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 416998380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862147043730).

416998380960 is an abundant number, since it is smaller than the sum of its proper divisors (1307295706500).

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

416998380960 is an frugal number, since it uses more digits than its factorization.

416998380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 416998380960 in words is "four hundred sixteen billion, nine hundred ninety-eight million, three hundred eighty thousand, nine hundred sixty".