4067023464192 has 288 divisors, whose sum is σ = 11873190470400. Its totient is φ = 1228234162176.

The previous prime is 4067023464173. The next prime is 4067023464199. The reversal of 4067023464192 is 2914643207604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067023464199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396429559 + ... + 396439817.

It is an arithmetic number, because the mean of its divisors is an integer number (41226355800).

Almost surely, 2^{4067023464192} 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 4067023464192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936595235200).

4067023464192 is an abundant number, since it is smaller than the sum of its proper divisors (7806167006208).

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

4067023464192 is a wasteful number, since it uses less digits than its factorization.

4067023464192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 4067023464192 in words is "four trillion, sixty-seven billion, twenty-three million, four hundred sixty-four thousand, one hundred ninety-two".