1916414910000 has 800 divisors, whose sum is σ = 7005121643520. Its totient is φ = 501389568000.

The previous prime is 1916414909977. The next prime is 1916414910001. The reversal of 1916414910000 is 194146191.

1916414910000 is a `hidden beast` number, since 1 + 9 + 1 + 641 + 4 + 9 + 1 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1916414910000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1916414910001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3809969749 + ... + 3809970251.

Almost surely, 2^{1916414910000} is an apocalyptic number.

1916414910000 is a gapful number since it is divisible by the number (10) 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 1916414910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502560821760).

1916414910000 is an abundant number, since it is smaller than the sum of its proper divisors (5088706733520).

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

1916414910000 is a wasteful number, since it uses less digits than its factorization.

1916414910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1916414910000 in words is "one trillion, nine hundred sixteen billion, four hundred fourteen million, nine hundred ten thousand".