4067957690016 has 192 divisors, whose sum is σ = 12255103526400. Its totient is φ = 1170033536000.

The previous prime is 4067957689993. The next prime is 4067957690081. The reversal of 4067957690016 is 6100967597604.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 681091 + ... + 2932541.

It is an arithmetic number, because the mean of its divisors is an integer number (63828664200).

Almost surely, 2^{4067957690016} 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 4067957690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127551763200).

4067957690016 is an abundant number, since it is smaller than the sum of its proper divisors (8187145836384).

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

4067957690016 is a wasteful number, since it uses less digits than its factorization.

4067957690016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251563 (or 2251555 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 4067957690016 in words is "four trillion, sixty-seven billion, nine hundred fifty-seven million, six hundred ninety thousand, sixteen".