1140001221400 has 96 divisors (see below), whose sum is σ = 2716006075200. Its totient is φ = 444849142400.

The previous prime is 1140001221391. The next prime is 1140001221421. The reversal of 1140001221400 is 41221000411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177059 + ... + 1914541.

It is an arithmetic number, because the mean of its divisors is an integer number (28291729950).

Almost surely, 2^{1140001221400} is an apocalyptic number.

1140001221400 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 1140001221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358003037600).

1140001221400 is an abundant number, since it is smaller than the sum of its proper divisors (1576004853800).

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

1140001221400 is a wasteful number, since it uses less digits than its factorization.

1140001221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737689 (or 737680 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1140001221400 its reverse (41221000411), we get a palindrome (1181222221811).

The spelling of 1140001221400 in words is "one trillion, one hundred forty billion, one million, two hundred twenty-one thousand, four hundred".