1022023346400 has 864 divisors, whose sum is σ = 4286508145920. Its totient is φ = 224277258240.

The previous prime is 1022023346363. The next prime is 1022023346419. The reversal of 1022023346400 is 46433202201.

1022023346400 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 233 + 4 + 6 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127860804 + ... + 127868796.

It is an arithmetic number, because the mean of its divisors is an integer number (4961236280).

Almost surely, 2^{1022023346400} is an apocalyptic number.

1022023346400 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 1022023346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143254072960).

1022023346400 is an abundant number, since it is smaller than the sum of its proper divisors (3264484799520).

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

1022023346400 is a wasteful number, since it uses less digits than its factorization.

1022023346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1022023346400 its reverse (46433202201), we get a palindrome (1068456548601).

The spelling of 1022023346400 in words is "one trillion, twenty-two billion, twenty-three million, three hundred forty-six thousand, four hundred".