4012001440 has 48 divisors (see below), whose sum is σ = 9491459040. Its totient is φ = 1602581760.

The previous prime is 4012001429. The next prime is 4012001443. The reversal of 4012001440 is 441002104.

It is a super-3 number, since 3×4012001440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4012001443) 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 7 ways as a sum of consecutive naturals, for example, 101275 + ... + 135205.

It is an arithmetic number, because the mean of its divisors is an integer number (197738730).

Almost surely, 2^4012001440 is an apocalyptic number.

4012001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4012001440 is an abundant number, since it is smaller than the sum of its proper divisors (5479457600).

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

4012001440 is a wasteful number, since it uses less digits than its factorization.

4012001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34685 (or 34677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4012001440 is about 63340.3618556130. The cubic root of 4012001440 is about 1588.9870583676.

Adding to 4012001440 its reverse (441002104), we get a palindrome (4453003544).

The spelling of 4012001440 in words is "four billion, twelve million, one thousand, four hundred forty".