1140224412400 has 120 divisors (see below), whose sum is σ = 2810103137424. Its totient is φ = 444369408000.

The previous prime is 1140224412391. The next prime is 1140224412449. The reversal of 1140224412400 is 42144220411.

It is a happy number.

It is a super-3 number, since 3×1140224412400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 6814542 + ... + 6979858.

Almost surely, 2^{1140224412400} is an apocalyptic number.

1140224412400 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 1140224412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405051568712).

1140224412400 is an abundant number, since it is smaller than the sum of its proper divisors (1669878725024).

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

1140224412400 is a wasteful number, since it uses less digits than its factorization.

1140224412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165779 (or 165768 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1140224412400 its reverse (42144220411), we get a palindrome (1182368632811).

The spelling of 1140224412400 in words is "one trillion, one hundred forty billion, two hundred twenty-four million, four hundred twelve thousand, four hundred".