4076544000 has 224 divisors, whose sum is σ = 13576133376. Its totient is φ = 1086259200.

The previous prime is 4076543987. The next prime is 4076544029. The reversal of 4076544000 is 4456704.

It is a super-4 number, since 4×4076544000⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071337 + ... + 3072663.

Almost surely, 2^4076544000 is an apocalyptic number.

4076544000 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 4076544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788066688).

4076544000 is an abundant number, since it is smaller than the sum of its proper divisors (9499589376).

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

4076544000 is an equidigital number, since it uses as much as digits as its factorization.

4076544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4076544000 is about 63847.8190700356. The cubic root of 4076544000 is about 1597.4626449370.

The spelling of 4076544000 in words is "four billion, seventy-six million, five hundred forty-four thousand".