4002001440 has 96 divisors (see below), whose sum is σ = 12669955200. Its totient is φ = 1061812224.

The previous prime is 4002001429. The next prime is 4002001469. The reversal of 4002001440 is 441002004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 74572 + ... + 116468.

It is an arithmetic number, because the mean of its divisors is an integer number (131978700).

Almost surely, 2^4002001440 is an apocalyptic number.

4002001440 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 4002001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334977600).

4002001440 is an abundant number, since it is smaller than the sum of its proper divisors (8667953760).

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

4002001440 is a wasteful number, since it uses less digits than its factorization.

4002001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42114 (or 42106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4002001440 is about 63261.3739970924. The cubic root of 4002001440 is about 1587.6657651526.

Adding to 4002001440 its reverse (441002004), we get a palindrome (4443003444).

The spelling of 4002001440 in words is "four billion, two million, one thousand, four hundred forty".