4101401216 has 128 divisors (see below), whose sum is σ = 9531043200. Its totient is φ = 1739161600.

The previous prime is 4101401207. The next prime is 4101401231. The reversal of 4101401216 is 6121041014.

4101401216 = T₂₀₃ + T₂₀₄ + ... + T₂₉₀₈.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326200 + ... + 1329288.

It is an arithmetic number, because the mean of its divisors is an integer number (74461275).

Almost surely, 2^4101401216 is an apocalyptic number.

4101401216 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 4101401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765521600).

4101401216 is an abundant number, since it is smaller than the sum of its proper divisors (5429641984).

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

4101401216 is a wasteful number, since it uses less digits than its factorization.

4101401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 4101401216 is about 64042.1830983298. The cubic root of 4101401216 is about 1600.7029744299.

The spelling of 4101401216 in words is "four billion, one hundred one million, four hundred one thousand, two hundred sixteen".