1011111400 has 96 divisors (see below), whose sum is σ = 2548821240. Its totient is φ = 370805760.

The previous prime is 1011111377. The next prime is 1011111427. The reversal of 1011111400 is 41111101.

It can be written as a sum of positive squares in 12 ways, for example, as 2540836 + 1008570564 = 1594^2 + 31758^2 .

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 23 ways as a sum of consecutive naturals, for example, 406962 + ... + 409438.

Almost surely, 2^1011111400 is an apocalyptic number.

1011111400 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 1011111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274410620).

1011111400 is an abundant number, since it is smaller than the sum of its proper divisors (1537709840).

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

1011111400 is a wasteful number, since it uses less digits than its factorization.

1011111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1011111400 is about 31797.9779231322. The cubic root of 1011111400 is about 1003.6901659254.

Adding to 1011111400 its reverse (41111101), we get a palindrome (1052222501).

The spelling of 1011111400 in words is "one billion, eleven million, one hundred eleven thousand, four hundred".