1111401000 has 160 divisors (see below), whose sum is σ = 3885247080. Its totient is φ = 296352000.

The previous prime is 1111400971. The next prime is 1111401001. The reversal of 1111401000 is 1041111.

It can be written as a sum of positive squares in 4 ways, for example, as 182736324 + 928664676 = 13518^2 + 30474^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1111401001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74140 + ... + 87860.

Almost surely, 2^1111401000 is an apocalyptic number.

1111401000 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 1111401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942623540).

1111401000 is an abundant number, since it is smaller than the sum of its proper divisors (2773846080).

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

1111401000 is a wasteful number, since it uses less digits than its factorization.

1111401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13754 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1111401000 is about 33337.6813830836. The cubic root of 1111401000 is about 1035.8342360367.

Adding to 1111401000 its reverse (1041111), we get a palindrome (1112442111).

The spelling of 1111401000 in words is "one billion, one hundred eleven million, four hundred one thousand".