1022414204400 has 60 divisors (see below), whose sum is σ = 3275133505272. Its totient is φ = 272643787520.

The previous prime is 1022414204389. The next prime is 1022414204411. The reversal of 1022414204400 is 44024142201.

1022414204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022414204389) and next prime (1022414204411).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426004719 + ... + 426007118.

Almost surely, 2^{1022414204400} is an apocalyptic number.

1022414204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022414204400 is an abundant number, since it is smaller than the sum of its proper divisors (2252719300872).

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

1022414204400 is a wasteful number, since it uses less digits than its factorization.

1022414204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852011858 (or 852011847 counting only the distinct ones).

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

Adding to 1022414204400 its reverse (44024142201), we get a palindrome (1066438346601).

The spelling of 1022414204400 in words is "one trillion, twenty-two billion, four hundred fourteen million, two hundred four thousand, four hundred".