4076381364 has 96 divisors (see below), whose sum is σ = 10608404352. Its totient is φ = 1207872000.

The previous prime is 4076381359. The next prime is 4076381377. The reversal of 4076381364 is 4631836704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456014 + ... + 1458810.

It is an arithmetic number, because the mean of its divisors is an integer number (110504212).

Almost surely, 2^4076381364 is an apocalyptic number.

4076381364 is a gapful number since it is divisible by the number (44) 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 4076381364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304202176).

4076381364 is an abundant number, since it is smaller than the sum of its proper divisors (6532022988).

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

4076381364 is a wasteful number, since it uses less digits than its factorization.

4076381364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4076381364 is about 63846.5454351291. The cubic root of 4076381364 is about 1597.4414007663.

The spelling of 4076381364 in words is "four billion, seventy-six million, three hundred eighty-one thousand, three hundred sixty-four".