4009492050816 has 192 divisors, whose sum is σ = 12390878428560. Its totient is φ = 1145397657600.

The previous prime is 4009492050757. The next prime is 4009492050821. The reversal of 4009492050816 is 6180502949004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179135946 + ... + 179158326.

Almost surely, 2^{4009492050816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009492050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195439214280).

4009492050816 is an abundant number, since it is smaller than the sum of its proper divisors (8381386377744).

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

4009492050816 is a wasteful number, since it uses less digits than its factorization.

4009492050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31933 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 4009492050816 in words is "four trillion, nine billion, four hundred ninety-two million, fifty thousand, eight hundred sixteen".