94142412000 has 1920 divisors, whose sum is σ = 443253178368. Its totient is φ = 19035648000.

The previous prime is 94142411971. The next prime is 94142412011. The reversal of 94142412000 is 21424149.

It is a happy number.

94142412000 is a `hidden beast` number, since 9 + 414 + 2 + 41 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 914003949 + ... + 914004051.

Almost surely, 2^94142412000 is an apocalyptic number.

94142412000 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 94142412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221626589184).

94142412000 is an abundant number, since it is smaller than the sum of its proper divisors (349110766368).

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

94142412000 is a wasteful number, since it uses less digits than its factorization.

94142412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 94142412000 its reverse (21424149), we get a palindrome (94163836149).

The spelling of 94142412000 in words is "ninety-four billion, one hundred forty-two million, four hundred twelve thousand".