1130401000 has 64 divisors (see below), whose sum is σ = 2659297680. Its totient is φ = 449740800.

The previous prime is 1130400983. The next prime is 1130401031. The reversal of 1130401000 is 1040311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 111386916 + 1019014084 = 10554^2 + 31922^2 .

It is a super-3 number, since 3×1130401000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 190072 + ... + 195928.

Almost surely, 2^1130401000 is an apocalyptic number.

1130401000 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 1130401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329648840).

1130401000 is an abundant number, since it is smaller than the sum of its proper divisors (1528896680).

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

1130401000 is a wasteful number, since it uses less digits than its factorization.

1130401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1130401000 is about 33621.4366141603. The cubic root of 1130401000 is about 1041.7036303328.

Adding to 1130401000 its reverse (1040311), we get a palindrome (1131441311).

The spelling of 1130401000 in words is "one billion, one hundred thirty million, four hundred one thousand".