1130400320 has 224 divisors, whose sum is σ = 3302373888. Its totient is φ = 360087552.

The previous prime is 1130400319. The next prime is 1130400361. The reversal of 1130400320 is 230040311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1130400320³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1130400295 and 1130400304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905944 + ... + 1906536.

Almost surely, 2^1130400320 is an apocalyptic number.

1130400320 is a gapful number since it is divisible by the number (10) 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 1130400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651186944).

1130400320 is an abundant number, since it is smaller than the sum of its proper divisors (2171973568).

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

1130400320 is a wasteful number, since it uses less digits than its factorization.

1130400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1130400320 is about 33621.4265015630. The cubic root of 1130400320 is about 1041.7034214516.

Adding to 1130400320 its reverse (230040311), we get a palindrome (1360440631).

The spelling of 1130400320 in words is "one billion, one hundred thirty million, four hundred thousand, three hundred twenty".