1020033157248 has 256 divisors, whose sum is σ = 3442906368000. Its totient is φ = 291241681920.

The previous prime is 1020033157237. The next prime is 1020033157271. The reversal of 1020033157248 is 8427513300201.

1020033157248 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 3 + 31 + 572 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37992213 + ... + 38019051.

It is an arithmetic number, because the mean of its divisors is an integer number (13448853000).

Almost surely, 2^{1020033157248} is an apocalyptic number.

1020033157248 is a gapful number since it is divisible by the number (18) 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 1020033157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721453184000).

1020033157248 is an abundant number, since it is smaller than the sum of its proper divisors (2422873210752).

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

1020033157248 is a wasteful number, since it uses less digits than its factorization.

1020033157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28440 (or 28422 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 1020033157248 its reverse (8427513300201), we get a palindrome (9447546457449).

The spelling of 1020033157248 in words is "one trillion, twenty billion, thirty-three million, one hundred fifty-seven thousand, two hundred forty-eight".