1765350420340 has 96 divisors (see below), whose sum is σ = 4005876420000. Its totient is φ = 649624707072.

The previous prime is 1765350420331. The next prime is 1765350420371. The reversal of 1765350420340 is 430240535671.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 52403450724 + 1712946969616 = 228918^2 + 1308796^2 .

It is a super-2 number, since 2×1765350420340² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1765350420293 and 1765350420302.

It is a congruent number.

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, 247625896 + ... + 247633024.

It is an arithmetic number, because the mean of its divisors is an integer number (41727879375).

Almost surely, 2^{1765350420340} is an apocalyptic number.

1765350420340 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 1765350420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002938210000).

1765350420340 is an abundant number, since it is smaller than the sum of its proper divisors (2240525999660).

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

1765350420340 is a wasteful number, since it uses less digits than its factorization.

1765350420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 1765350420340 in words is "one trillion, seven hundred sixty-five billion, three hundred fifty million, four hundred twenty thousand, three hundred forty".