1022424414000 has 320 divisors, whose sum is σ = 3631586849280. Its totient is φ = 245404800000.

The previous prime is 1022424413981. The next prime is 1022424414007. The reversal of 1022424414000 is 4144242201.

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 (1022424414007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6589311 + ... + 6742689.

It is an arithmetic number, because the mean of its divisors is an integer number (11348708904).

Almost surely, 2^{1022424414000} is an apocalyptic number.

1022424414000 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 1022424414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815793424640).

1022424414000 is an abundant number, since it is smaller than the sum of its proper divisors (2609162435280).

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

1022424414000 is a wasteful number, since it uses less digits than its factorization.

1022424414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153517 (or 153501 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1022424414000 its reverse (4144242201), we get a palindrome (1026568656201).

The spelling of 1022424414000 in words is "one trillion, twenty-two billion, four hundred twenty-four million, four hundred fourteen thousand".