1033400016 has 180 divisors, whose sum is σ = 3210794496. Its totient is φ = 310020480.

The previous prime is 1033400003. The next prime is 1033400033. The reversal of 1033400016 is 6100043301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2212615 + ... + 2213081.

Almost surely, 2^1033400016 is an apocalyptic number.

1033400016 is a gapful number since it is divisible by the number (16) 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 1033400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605397248).

1033400016 is an abundant number, since it is smaller than the sum of its proper divisors (2177394480).

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

1033400016 is a wasteful number, since it uses less digits than its factorization.

1033400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1033400016 is about 32146.5397204738. The cubic root of 1033400016 is about 1011.0116374315.

Adding to 1033400016 its reverse (6100043301), we get a palindrome (7133443317).

The spelling of 1033400016 in words is "one billion, thirty-three million, four hundred thousand, sixteen".