1022320011400 has 96 divisors (see below), whose sum is σ = 2412822444480. Its totient is φ = 402758496000.

The previous prime is 1022320011367. The next prime is 1022320011421. The reversal of 1022320011400 is 41100232201.

It is a super-2 number, since 2×1022320011400² (a number of 25 digits) contains 22 as substring.

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, 14121295 + ... + 14193505.

It is an arithmetic number, because the mean of its divisors is an integer number (25133567130).

Almost surely, 2^{1022320011400} is an apocalyptic number.

1022320011400 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 1022320011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206411222240).

1022320011400 is an abundant number, since it is smaller than the sum of its proper divisors (1390502433080).

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

1022320011400 is a wasteful number, since it uses less digits than its factorization.

1022320011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73295 (or 73286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1022320011400 its reverse (41100232201), we get a palindrome (1063420243601).

The spelling of 1022320011400 in words is "one trillion, twenty-two billion, three hundred twenty million, eleven thousand, four hundred".