1022049248000 has 432 divisors, whose sum is σ = 2963365134912. Its totient is φ = 349769728000.

The previous prime is 1022049247991. The next prime is 1022049248023. The reversal of 1022049248000 is 8429402201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65816237 + ... + 65831763.

It is an arithmetic number, because the mean of its divisors is an integer number (6859641516).

Almost surely, 2^{1022049248000} is an apocalyptic number.

1022049248000 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 1022049248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481682567456).

1022049248000 is an abundant number, since it is smaller than the sum of its proper divisors (1941315886912).

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

1022049248000 is a wasteful number, since it uses less digits than its factorization.

1022049248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15597 (or 15562 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 1022049248000 in words is "one trillion, twenty-two billion, forty-nine million, two hundred forty-eight thousand".