1017433063920 has 960 divisors, whose sum is σ = 4199277479040. Its totient is φ = 201285697536.

The previous prime is 1017433063891. The next prime is 1017433063963. The reversal of 1017433063920 is 293603347101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 917432326 + ... + 917433434.

It is an arithmetic number, because the mean of its divisors is an integer number (4374247374).

Almost surely, 2^{1017433063920} is an apocalyptic number.

1017433063920 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 1017433063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099638739520).

1017433063920 is an abundant number, since it is smaller than the sum of its proper divisors (3181844415120).

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

1017433063920 is a wasteful number, since it uses less digits than its factorization.

1017433063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 1017433063920 in words is "one trillion, seventeen billion, four hundred thirty-three million, sixty-three thousand, nine hundred twenty".