4101342336 has 768 divisors, whose sum is σ = 16018732800. Its totient is φ = 1034643456.

The previous prime is 4101342317. The next prime is 4101342347. The reversal of 4101342336 is 6332431014.

4101342336 is a `hidden beast` number, since 410 + 13 + 4 + 233 + 6 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178319221 + ... + 178319243.

It is an arithmetic number, because the mean of its divisors is an integer number (20857725).

Almost surely, 2^4101342336 is an apocalyptic number.

4101342336 is a gapful number since it is divisible by the number (46) 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 4101342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009366400).

4101342336 is an abundant number, since it is smaller than the sum of its proper divisors (11917390464).

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

4101342336 is an equidigital number, since it uses as much as digits as its factorization.

4101342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4101342336 is about 64041.7233996712. The cubic root of 4101342336 is about 1600.6953144590.

The spelling of 4101342336 in words is "four billion, one hundred one million, three hundred forty-two thousand, three hundred thirty-six".