2016401440 has 48 divisors (see below), whose sum is σ = 4782381912. Its totient is φ = 803405824.

The previous prime is 2016401423. The next prime is 2016401441. The reversal of 2016401440 is 441046102.

It can be written as a sum of positive squares in 4 ways, for example, as 1939873936 + 76527504 = 44044^2 + 8748^2 .

It is not an unprimeable number, because it can be changed into a prime (2016401441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16602 + ... + 65638.

Almost surely, 2^2016401440 is an apocalyptic number.

2016401440 is a gapful number since it is divisible by the number (20) 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 2016401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391190956).

2016401440 is an abundant number, since it is smaller than the sum of its proper divisors (2765980472).

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

2016401440 is a wasteful number, since it uses less digits than its factorization.

2016401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49309 (or 49301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2016401440 is about 44904.3588084720. The cubic root of 2016401440 is about 1263.3557644754.

Adding to 2016401440 its reverse (441046102), we get a palindrome (2457447542).

It can be divided in two parts, 201640 and 1440, that multiplied together give a square (290361600 = 17040²).

The spelling of 2016401440 in words is "two billion, sixteen million, four hundred one thousand, four hundred forty".