1766430532140 has 96 divisors (see below), whose sum is σ = 5117987911680. Its totient is φ = 454677947136.

The previous prime is 1766430532067. The next prime is 1766430532151. The reversal of 1766430532140 is 412350346671.

It is a junction number, because it is equal to n+sod(n) for n = 1766430532092 and 1766430532101.

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, 6163917 + ... + 6444123.

It is an arithmetic number, because the mean of its divisors is an integer number (53312374080).

Almost surely, 2^{1766430532140} is an apocalyptic number.

1766430532140 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 1766430532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558993955840).

1766430532140 is an abundant number, since it is smaller than the sum of its proper divisors (3351557379540).

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

1766430532140 is a wasteful number, since it uses less digits than its factorization.

1766430532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283871 (or 283869 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 1766430532140 in words is "one trillion, seven hundred sixty-six billion, four hundred thirty million, five hundred thirty-two thousand, one hundred forty".