4042764000 has 768 divisors, whose sum is σ = 16643128320. Its totient is φ = 944640000.

The previous prime is 4042763983. The next prime is 4042764013. The reversal of 4042764000 is 4672404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 48707959 + ... + 48708041.

It is an arithmetic number, because the mean of its divisors is an integer number (21670740).

Almost surely, 2^4042764000 is an apocalyptic number.

4042764000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

4042764000 is an abundant number, since it is smaller than the sum of its proper divisors (12600364320).

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

4042764000 is a wasteful number, since it uses less digits than its factorization.

4042764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4042764000 is about 63582.7335052528. The cubic root of 4042764000 is about 1593.0379795244.

The spelling of 4042764000 in words is "four billion, forty-two million, seven hundred sixty-four thousand".