1022663040300 has 288 divisors, whose sum is σ = 3587795366400. Its totient is φ = 247832352000.

The previous prime is 1022663040283. The next prime is 1022663040307. The reversal of 1022663040300 is 30403662201.

1022663040300 is a `hidden beast` number, since 1 + 0 + 2 + 26 + 630 + 4 + 0 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1022663040307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144665166 + ... + 144672234.

It is an arithmetic number, because the mean of its divisors is an integer number (12457622800).

Almost surely, 2^{1022663040300} is an apocalyptic number.

1022663040300 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 1022663040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793897683200).

1022663040300 is an abundant number, since it is smaller than the sum of its proper divisors (2565132326100).

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

1022663040300 is a wasteful number, since it uses less digits than its factorization.

1022663040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11974 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 1022663040300 in words is "one trillion, twenty-two billion, six hundred sixty-three million, forty thousand, three hundred".