1022134331400 has 768 divisors, whose sum is σ = 4022169231360. Its totient is φ = 208944230400.

The previous prime is 1022134331389. The next prime is 1022134331411. The reversal of 1022134331400 is 41334312201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022134331389) and next prime (1022134331411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 547473267 + ... + 547475133.

It is an arithmetic number, because the mean of its divisors is an integer number (5237199520).

Almost surely, 2^{1022134331400} is an apocalyptic number.

1022134331400 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 1022134331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011084615680).

1022134331400 is an abundant number, since it is smaller than the sum of its proper divisors (3000034899960).

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

1022134331400 is a wasteful number, since it uses less digits than its factorization.

1022134331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1022134331400 its reverse (41334312201), we get a palindrome (1063468643601).

The spelling of 1022134331400 in words is "one trillion, twenty-two billion, one hundred thirty-four million, three hundred thirty-one thousand, four hundred".