1014223342400 has 84 divisors (see below), whose sum is σ = 2496475007040. Its totient is φ = 405550886400.

The previous prime is 1014223342381. The next prime is 1014223342487. The reversal of 1014223342400 is 42433224101.

It is a self number, because there is not a number n which added to its sum of digits gives 1014223342400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4646921 + ... + 4860279.

It is an arithmetic number, because the mean of its divisors is an integer number (29719940560).

Almost surely, 2^{1014223342400} is an apocalyptic number.

1014223342400 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 1014223342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248237503520).

1014223342400 is an abundant number, since it is smaller than the sum of its proper divisors (1482251664640).

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

1014223342400 is a wasteful number, since it uses less digits than its factorization.

1014223342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216352 (or 216337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1014223342400 its reverse (42433224101), we get a palindrome (1056656566501).

The spelling of 1014223342400 in words is "one trillion, fourteen billion, two hundred twenty-three million, three hundred forty-two thousand, four hundred".