4011401120 has 96 divisors (see below), whose sum is σ = 9707040000. Its totient is φ = 1565807616.

The previous prime is 4011401117. The next prime is 4011401129. The reversal of 4011401120 is 211041104.

It is a junction number, because it is equal to n+sod(n) for n = 4011401095 and 4011401104.

It is not an unprimeable number, because it can be changed into a prime (4011401129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3751946 + ... + 3753014.

It is an arithmetic number, because the mean of its divisors is an integer number (101115000).

Almost surely, 2^4011401120 is an apocalyptic number.

4011401120 is a gapful number since it is divisible by the number (40) 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 4011401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853520000).

4011401120 is an abundant number, since it is smaller than the sum of its proper divisors (5695638880).

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

4011401120 is a wasteful number, since it uses less digits than its factorization.

4011401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4011401120 is about 63335.6228358102. The cubic root of 4011401120 is about 1588.9078004787.

Adding to 4011401120 its reverse (211041104), we get a palindrome (4222442224).

The spelling of 4011401120 in words is "four billion, eleven million, four hundred one thousand, one hundred twenty".