7133450400 has 216 divisors, whose sum is σ = 25401186720. Its totient is φ = 1883589120.

The previous prime is 7133450381. The next prime is 7133450413. The reversal of 7133450400 is 40543317.

It is a super-2 number, since 2×7133450400² (a number of 21 digits) contains 22 as substring.

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, 736791 + ... + 746409.

Almost surely, 2^7133450400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700593360).

7133450400 is an abundant number, since it is smaller than the sum of its proper divisors (18267736320).

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

7133450400 is a wasteful number, since it uses less digits than its factorization.

7133450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9748 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7133450400 is about 84459.7560972088. The cubic root of 7133450400 is about 1925.0109989814.

Adding to 7133450400 its reverse (40543317), we get a palindrome (7173993717).

The spelling of 7133450400 in words is "seven billion, one hundred thirty-three million, four hundred fifty thousand, four hundred".