4101378432 has 128 divisors (see below), whose sum is σ = 11128216320. Its totient is φ = 1338009600.

The previous prime is 4101378431. The next prime is 4101378433. The reversal of 4101378432 is 2348731014.

It is an interprime number because it is at equal distance from previous prime (4101378431) and next prime (4101378433).

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

It is a junction number, because it is equal to n+sod(n) for n = 4101378393 and 4101378402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101378431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7284583 + ... + 7285145.

It is an arithmetic number, because the mean of its divisors is an integer number (86939190).

Almost surely, 2^4101378432 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 4101378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564108160).

4101378432 is an abundant number, since it is smaller than the sum of its proper divisors (7026837888).

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

4101378432 is a wasteful number, since it uses less digits than its factorization.

4101378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4101378432 is about 64042.0052153272. The cubic root of 4101378432 is about 1600.7000103629.

The spelling of 4101378432 in words is "four billion, one hundred one million, three hundred seventy-eight thousand, four hundred thirty-two".