4001140211520 has 224 divisors, whose sum is σ = 12878477192448. Its totient is φ = 1052359852032.

The previous prime is 4001140211507. The next prime is 4001140211531. The reversal of 4001140211520 is 251120411004.

4001140211520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27210837 + ... + 27357483.

It is an arithmetic number, because the mean of its divisors is an integer number (57493201752).

Almost surely, 2^{4001140211520} is an apocalyptic number.

4001140211520 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 4001140211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439238596224).

4001140211520 is an abundant number, since it is smaller than the sum of its proper divisors (8877336980928).

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

4001140211520 is a wasteful number, since it uses less digits than its factorization.

4001140211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147057 (or 147047 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 4001140211520 its reverse (251120411004), we get a palindrome (4252260622524).

The spelling of 4001140211520 in words is "four trillion, one billion, one hundred forty million, two hundred eleven thousand, five hundred twenty".