4213109376 has 240 divisors, whose sum is σ = 14586948090. Its totient is φ = 1203600384.

The previous prime is 4213109353. The next prime is 4213109423. The reversal of 4213109376 is 6739013124.

It can be written as a sum of positive squares in only one way, i.e., 3969000000 + 244109376 = 63000^2 + 15624^2 .

It is a super-2 number, since 2×4213109376² = 35500581228278218752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4213109376.

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 29 ways as a sum of consecutive naturals, for example, 503886 + ... + 512178.

Almost surely, 2^4213109376 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 4213109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293474045).

4213109376 is an abundant number, since it is smaller than the sum of its proper divisors (10373838714).

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

4213109376 is an equidigital number, since it uses as much as digits as its factorization.

4213109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4213109376 is about 64908.4692162741. The cubic root of 4213109376 is about 1615.1055567183.

The spelling of 4213109376 in words is "four billion, two hundred thirteen million, one hundred nine thousand, three hundred seventy-six".