10361309001140 has 24 divisors (see below), whose sum is σ = 22003229230920. Its totient is φ = 4097955918848.

The previous prime is 10361309001119. The next prime is 10361309001157. The reversal of 10361309001140 is 4110090316301.

10361309001140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 120656190736 + 10240652810404 = 347356^2 + 3200102^2 .

It is a super-3 number, since 3×10361309001140³ (a number of 40 digits) contains 333 as substring.

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, 2910478277 + ... + 2910481836.

It is an arithmetic number, because the mean of its divisors is an integer number (916801217955).

Almost surely, 2^{10361309001140} is an apocalyptic number.

10361309001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10361309001140 is an abundant number, since it is smaller than the sum of its proper divisors (11641920229780).

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

10361309001140 is a wasteful number, since it uses less digits than its factorization.

10361309001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820960211 (or 5820960209 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 10361309001140 its reverse (4110090316301), we get a palindrome (14471399317441).

The spelling of 10361309001140 in words is "ten trillion, three hundred sixty-one billion, three hundred nine million, one thousand, one hundred forty".