4074131664 has 120 divisors (see below), whose sum is σ = 11720142720. Its totient is φ = 1320431616.

The previous prime is 4074131591. The next prime is 4074131669. The reversal of 4074131664 is 4661314704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074131669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478512 + ... + 1481264.

It is an arithmetic number, because the mean of its divisors is an integer number (97667856).

Almost surely, 2^4074131664 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 4074131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860071360).

4074131664 is an abundant number, since it is smaller than the sum of its proper divisors (7646011056).

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

4074131664 is a wasteful number, since it uses less digits than its factorization.

4074131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4074131664 is about 63828.9249791973. The cubic root of 4074131664 is about 1597.1474778874.

The spelling of 4074131664 in words is "four billion, seventy-four million, one hundred thirty-one thousand, six hundred sixty-four".