4074006816 has 144 divisors (see below), whose sum is σ = 12720734208. Its totient is φ = 1226534400.

The previous prime is 4074006799. The next prime is 4074006821. The reversal of 4074006816 is 6186004704.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 493281 + ... + 501471.

It is an arithmetic number, because the mean of its divisors is an integer number (88338432).

Almost surely, 2^4074006816 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 4074006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360367104).

4074006816 is an abundant number, since it is smaller than the sum of its proper divisors (8646727392).

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

4074006816 is a wasteful number, since it uses less digits than its factorization.

4074006816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8375 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4074006816 is about 63827.9469824935. The cubic root of 4074006816 is about 1597.1311633512.

The spelling of 4074006816 in words is "four billion, seventy-four million, six thousand, eight hundred sixteen".