1022122450440 has 384 divisors, whose sum is σ = 4113594051840. Its totient is φ = 214332438528.

The previous prime is 1022122450439. The next prime is 1022122450487. The reversal of 1022122450440 is 440542212201.

It is a happy number.

1022122450440 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 2 + 4 + 5 + 0 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5244174 + ... + 5435586.

It is an arithmetic number, because the mean of its divisors is an integer number (10712484510).

Almost surely, 2^{1022122450440} is an apocalyptic number.

1022122450440 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 1022122450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056797025920).

1022122450440 is an abundant number, since it is smaller than the sum of its proper divisors (3091471601400).

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

1022122450440 is a wasteful number, since it uses less digits than its factorization.

1022122450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191613 (or 191606 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1022122450440 its reverse (440542212201), we get a palindrome (1462664662641).

The spelling of 1022122450440 in words is "one trillion, twenty-two billion, one hundred twenty-two million, four hundred fifty thousand, four hundred forty".