4016323440 has 280 divisors, whose sum is σ = 14827742928. Its totient is φ = 1007769600.

The previous prime is 4016323433. The next prime is 4016323463. The reversal of 4016323440 is 443236104.

4016323440 is a `hidden beast` number, since 40 + 163 + 23 + 440 = 666.

It is a super-2 number, since 2×4016323440² = 32261707949386867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 989415 + ... + 993465.

Almost surely, 2^4016323440 is an apocalyptic number.

4016323440 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 4016323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413871464).

4016323440 is an abundant number, since it is smaller than the sum of its proper divisors (10811419488).

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

4016323440 is a wasteful number, since it uses less digits than its factorization.

4016323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4016323440 is about 63374.4699386117. The cubic root of 4016323440 is about 1589.5574418002.

Adding to 4016323440 its reverse (443236104), we get a palindrome (4459559544).

The spelling of 4016323440 in words is "four billion, sixteen million, three hundred twenty-three thousand, four hundred forty".