1101388400 has 180 divisors, whose sum is σ = 3103445712. Its totient is φ = 367933440.

The previous prime is 1101388381. The next prime is 1101388403. The reversal of 1101388400 is 48831011.

It is a self number, because there is not a number n which added to its sum of digits gives 1101388400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101388403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9746744 + ... + 9746856.

Almost surely, 2^1101388400 is an apocalyptic number.

1101388400 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 1101388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551722856).

1101388400 is an abundant number, since it is smaller than the sum of its proper divisors (2002057312).

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

1101388400 is a wasteful number, since it uses less digits than its factorization.

1101388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1101388400 is about 33187.1722206036. The cubic root of 1101388400 is about 1032.7142412567.

The spelling of 1101388400 in words is "one billion, one hundred one million, three hundred eighty-eight thousand, four hundred".