4084837492000 has 192 divisors, whose sum is σ = 10268459195904. Its totient is φ = 1596288614400.

The previous prime is 4084837491961. The next prime is 4084837492049. The reversal of 4084837492000 is 2947384804.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 105824704 + ... + 105863296.

It is an arithmetic number, because the mean of its divisors is an integer number (53481558312).

Almost surely, 2^{4084837492000} is an apocalyptic number.

4084837492000 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 4084837492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134229597952).

4084837492000 is an abundant number, since it is smaller than the sum of its proper divisors (6183621703904).

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

4084837492000 is a wasteful number, since it uses less digits than its factorization.

4084837492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39228 (or 39210 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 4084837492000 in words is "four trillion, eighty-four billion, eight hundred thirty-seven million, four hundred ninety-two thousand".