1040221411400 has 192 divisors, whose sum is σ = 2577537884160. Its totient is φ = 389715840000.

The previous prime is 1040221411393. The next prime is 1040221411423. The reversal of 1040221411400 is 41141220401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43803530 + ... + 43827270.

It is an arithmetic number, because the mean of its divisors is an integer number (13424676480).

Almost surely, 2^{1040221411400} is an apocalyptic number.

1040221411400 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 1040221411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288768942080).

1040221411400 is an abundant number, since it is smaller than the sum of its proper divisors (1537316472760).

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

1040221411400 is a wasteful number, since it uses less digits than its factorization.

1040221411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24016 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1040221411400 its reverse (41141220401), we get a palindrome (1081362631801).

The spelling of 1040221411400 in words is "one trillion, forty billion, two hundred twenty-one million, four hundred eleven thousand, four hundred".