4084292386944 has 576 divisors, whose sum is σ = 15082509031200. Its totient is φ = 1048921251840.

The previous prime is 4084292386931. The next prime is 4084292386949. The reversal of 4084292386944 is 4496832924804.

4084292386944 is a `hidden beast` number, since 4 + 0 + 84 + 2 + 92 + 386 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (4084292386949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55225639 + ... + 55299545.

Almost surely, 2^{4084292386944} is an apocalyptic number.

4084292386944 is a gapful number since it is divisible by the number (44) 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 4084292386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541254515600).

4084292386944 is an abundant number, since it is smaller than the sum of its proper divisors (10998216644256).

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

4084292386944 is a wasteful number, since it uses less digits than its factorization.

4084292386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74041 (or 74019 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 4084292386944 in words is "four trillion, eighty-four billion, two hundred ninety-two million, three hundred eighty-six thousand, nine hundred forty-four".