1020188277240 has 256 divisors, whose sum is σ = 3419458398720. Its totient is φ = 241413488640.

The previous prime is 1020188277197. The next prime is 1020188277289. The reversal of 1020188277240 is 427728810201.

It is a junction number, because it is equal to n+sod(n) for n = 1020188277192 and 1020188277201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9292347 + ... + 9401493.

It is an arithmetic number, because the mean of its divisors is an integer number (13357259370).

Almost surely, 2^{1020188277240} is an apocalyptic number.

1020188277240 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 1020188277240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709729199360).

1020188277240 is an abundant number, since it is smaller than the sum of its proper divisors (2399270121480).

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

1020188277240 is a wasteful number, since it uses less digits than its factorization.

1020188277240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109342 (or 109338 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 1020188277240 in words is "one trillion, twenty billion, one hundred eighty-eight million, two hundred seventy-seven thousand, two hundred forty".