914141067840 has 2016 divisors, whose sum is σ = 4350652435584. Its totient is φ = 173160529920.

The previous prime is 914141067821. The next prime is 914141067859. The reversal of 914141067840 is 48760141419.

914141067840 is a `hidden beast` number, since 91 + 41 + 410 + 6 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (914141067821) and next prime (914141067859).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1957475287 + ... + 1957475753.

It is an arithmetic number, because the mean of its divisors is an integer number (2158061724).

Almost surely, 2^914141067840 is an apocalyptic number.

914141067840 is a gapful number since it is divisible by the number (90) 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 914141067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175326217792).

914141067840 is an abundant number, since it is smaller than the sum of its proper divisors (3436511367744).

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

914141067840 is a wasteful number, since it uses less digits than its factorization.

914141067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 914141067840 in words is "nine hundred fourteen billion, one hundred forty-one million, sixty-seven thousand, eight hundred forty".