1200041400 has 96 divisors (see below), whose sum is σ = 3738153600. Its totient is φ = 318460800.

The previous prime is 1200041393. The next prime is 1200041411. The reversal of 1200041400 is 41400021.

1200041400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 121861 + ... + 131339.

It is an arithmetic number, because the mean of its divisors is an integer number (38939100).

Almost surely, 2^1200041400 is an apocalyptic number.

1200041400 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 1200041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869076800).

1200041400 is an abundant number, since it is smaller than the sum of its proper divisors (2538112200).

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

1200041400 is a wasteful number, since it uses less digits than its factorization.

1200041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1200041400 is about 34641.6137037523. The cubic root of 1200041400 is about 1062.6707896156.

Adding to 1200041400 its reverse (41400021), we get a palindrome (1241441421).

The spelling of 1200041400 in words is "one billion, two hundred million, forty-one thousand, four hundred".