1022141334400 has 48 divisors (see below), whose sum is σ = 2525008523040. Its totient is φ = 408856532480.

The previous prime is 1022141334373. The next prime is 1022141334443. The reversal of 1022141334400 is 44331412201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159706384 + ... + 159712783.

It is an arithmetic number, because the mean of its divisors is an integer number (52604344230).

Almost surely, 2^{1022141334400} is an apocalyptic number.

1022141334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022141334400 is an abundant number, since it is smaller than the sum of its proper divisors (1502867188640).

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

1022141334400 is an equidigital number, since it uses as much as digits as its factorization.

1022141334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319419191 (or 319419174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1022141334400 its reverse (44331412201), we get a palindrome (1066472746601).

The spelling of 1022141334400 in words is "one trillion, twenty-two billion, one hundred forty-one million, three hundred thirty-four thousand, four hundred".