1022314142400 has 168 divisors, whose sum is σ = 3354509196480. Its totient is φ = 272579159040.

The previous prime is 1022314142393. The next prime is 1022314142401. The reversal of 1022314142400 is 42414132201.

1022314142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1022314142401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58680891 + ... + 58698309.

Almost surely, 2^{1022314142400} is an apocalyptic number.

1022314142400 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 1022314142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677254598240).

1022314142400 is an abundant number, since it is smaller than the sum of its proper divisors (2332195054080).

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

1022314142400 is a wasteful number, since it uses less digits than its factorization.

1022314142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29671 (or 29656 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1022314142400 its reverse (42414132201), we get a palindrome (1064728274601).

The spelling of 1022314142400 in words is "one trillion, twenty-two billion, three hundred fourteen million, one hundred forty-two thousand, four hundred".