1201440400 has 60 divisors (see below), whose sum is σ = 2904326512. Its totient is φ = 477601920.

The previous prime is 1201440353. The next prime is 1201440407. The reversal of 1201440400 is 40441021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1201440407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55987 + ... + 74413.

Almost surely, 2^1201440400 is an apocalyptic number.

1201440400 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 1201440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452163256).

1201440400 is an abundant number, since it is smaller than the sum of its proper divisors (1702886112).

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

1201440400 is a wasteful number, since it uses less digits than its factorization.

1201440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18608 (or 18597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1201440400 is about 34661.8002994651. The cubic root of 1201440400 is about 1063.0835806770.

Adding to 1201440400 its reverse (40441021), we get a palindrome (1241881421).

The spelling of 1201440400 in words is "one billion, two hundred one million, four hundred forty thousand, four hundred".