116419008867840 has 1440 divisors, whose sum is σ = 480556205157600. Its totient is φ = 25971181092864.

The previous prime is 116419008867809. The next prime is 116419008867841. The reversal of 116419008867840 is 48768800914611.

116419008867840 is a `hidden beast` number, since 1 + 1 + 6 + 419 + 0 + 0 + 88 + 67 + 84 + 0 = 666.

116419008867840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116419008867841) 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, 89760222072 + ... + 89760223368.

It is an arithmetic number, because the mean of its divisors is an integer number (333719586915).

Almost surely, 2^{116419008867840} is an apocalyptic number.

116419008867840 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 116419008867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240278102578800).

116419008867840 is an abundant number, since it is smaller than the sum of its proper divisors (364137196289760).

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

116419008867840 is an frugal number, since it uses more digits than its factorization.

116419008867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 116419008867840 in words is "one hundred sixteen trillion, four hundred nineteen billion, eight million, eight hundred sixty-seven thousand, eight hundred forty".