1017920143296 has 1792 divisors, whose sum is σ = 4001472921600. Its totient is φ = 246809493504.

The previous prime is 1017920143241. The next prime is 1017920143349. The reversal of 1017920143296 is 6923410297101.

1017920143296 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 9 + 201 + 432 + 9 + 6 = 666.

It is a super-2 number, since 2×1017920143296² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12264098071 + ... + 12264098153.

It is an arithmetic number, because the mean of its divisors is an integer number (2232964800).

Almost surely, 2^{1017920143296} is an apocalyptic number.

1017920143296 is a gapful number since it is divisible by the number (16) 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 1017920143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000736460800).

1017920143296 is an abundant number, since it is smaller than the sum of its proper divisors (2983552778304).

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

1017920143296 is a wasteful number, since it uses less digits than its factorization.

1017920143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1017920143296 in words is "one trillion, seventeen billion, nine hundred twenty million, one hundred forty-three thousand, two hundred ninety-six".