1020931911840 has 192 divisors, whose sum is σ = 3283498705536. Its totient is φ = 266586980352.

The previous prime is 1020931911829. The next prime is 1020931911841. The reversal of 1020931911840 is 481191390201.

It is a super-2 number, since 2×1020931911840² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020931911841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388532 + ... + 4615308.

It is an arithmetic number, because the mean of its divisors is an integer number (17101555758).

Almost surely, 2^{1020931911840} is an apocalyptic number.

1020931911840 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 1020931911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641749352768).

1020931911840 is an abundant number, since it is smaller than the sum of its proper divisors (2262566793696).

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

1020931911840 is a wasteful number, since it uses less digits than its factorization.

1020931911840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226991 (or 226983 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 1020931911840 in words is "one trillion, twenty billion, nine hundred thirty-one million, nine hundred eleven thousand, eight hundred forty".