4016133440 has 112 divisors (see below), whose sum is σ = 10792846080. Its totient is φ = 1410017280.

The previous prime is 4016133437. The next prime is 4016133509. The reversal of 4016133440 is 443316104.

It is a super-2 number, since 2×4016133440² = 32258655615772467200, which contains 22 as substring.

It is a congruent number.

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, 82409 + ... + 121751.

Almost surely, 2^4016133440 is an apocalyptic number.

4016133440 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 4016133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396423040).

4016133440 is an abundant number, since it is smaller than the sum of its proper divisors (6776712640).

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

4016133440 is a wasteful number, since it uses less digits than its factorization.

4016133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39400 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4016133440 is about 63372.9708945383. The cubic root of 4016133440 is about 1589.5323757017.

Adding to 4016133440 its reverse (443316104), we get a palindrome (4459449544).

The spelling of 4016133440 in words is "four billion, sixteen million, one hundred thirty-three thousand, four hundred forty".