4076133600 has 864 divisors, whose sum is σ = 17697367296. Its totient is φ = 804249600.

The previous prime is 4076133557. The next prime is 4076133619. The reversal of 4076133600 is 63316704.

It is a super-2 number, since 2×4076133600² = 33229730250097920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29752732 + ... + 29752868.

It is an arithmetic number, because the mean of its divisors is an integer number (20483064).

Almost surely, 2^4076133600 is an apocalyptic number.

4076133600 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 4076133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848683648).

4076133600 is an abundant number, since it is smaller than the sum of its proper divisors (13621233696).

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

4076133600 is a wasteful number, since it uses less digits than its factorization.

4076133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 4076133600 is about 63844.6050970636. The cubic root of 4076133600 is about 1597.4090357466.

The spelling of 4076133600 in words is "four billion, seventy-six million, one hundred thirty-three thousand, six hundred".