10350205353440 has 48 divisors (see below), whose sum is σ = 25021019702448. Its totient is φ = 4043801158656.

The previous prime is 10350205353437. The next prime is 10350205353487. The reversal of 10350205353440 is 4435350205301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10350205353440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752188277 + ... + 752202036.

It is an arithmetic number, because the mean of its divisors is an integer number (521271243801).

Almost surely, 2^{10350205353440} is an apocalyptic number.

10350205353440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10350205353440 is an abundant number, since it is smaller than the sum of its proper divisors (14670814349008).

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

10350205353440 is a wasteful number, since it uses less digits than its factorization.

10350205353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504390371 (or 1504390363 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 10350205353440 its reverse (4435350205301), we get a palindrome (14785555558741).

The spelling of 10350205353440 in words is "ten trillion, three hundred fifty billion, two hundred five million, three hundred fifty-three thousand, four hundred forty".