1101400400 has 30 divisors (see below), whose sum is σ = 2646115422. Its totient is φ = 440560000.

The previous prime is 1101400387. The next prime is 1101400439. The reversal of 1101400400 is 40041011.

It can be written as a sum of positive squares in 3 ways, for example, as 753424 + 1100646976 = 868^2 + 33176^2 .

It is a super-2 number, since 2×1101400400² = 2426165682240320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1376351 + ... + 1377150.

Almost surely, 2^1101400400 is an apocalyptic number.

1101400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101400400 is an abundant number, since it is smaller than the sum of its proper divisors (1544715022).

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

1101400400 is a wasteful number, since it uses less digits than its factorization.

1101400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753519 (or 2753508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1101400400 is about 33187.3530128572. The cubic root of 1101400400 is about 1032.7179918336.

Adding to 1101400400 its reverse (40041011), we get a palindrome (1141441411).

The spelling of 1101400400 in words is "one billion, one hundred one million, four hundred thousand, four hundred".