4007593046016 has 936 divisors, whose sum is σ = 14071017995424. Its totient is φ = 1094701547520.

The previous prime is 4007593045949. The next prime is 4007593046047. The reversal of 4007593046016 is 6106403957004.

4007593046016 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 5 + 9 + 30 + 4 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4076899861 + ... + 4076900843.

It is an arithmetic number, because the mean of its divisors is an integer number (15033138884).

Almost surely, 2^{4007593046016} 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 4007593046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035508997712).

4007593046016 is an abundant number, since it is smaller than the sum of its proper divisors (10063424949408).

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

4007593046016 is a wasteful number, since it uses less digits than its factorization.

4007593046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4007593046016 in words is "four trillion, seven billion, five hundred ninety-three million, forty-six thousand, sixteen".