10334413141140 has 384 divisors, whose sum is σ = 32082781667328. Its totient is φ = 2464781598720.

The previous prime is 10334413141127. The next prime is 10334413141181. The reversal of 10334413141140 is 4114131443301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10334413141098 and 10334413141107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9420613072 + ... + 9420614168.

It is an arithmetic number, because the mean of its divisors is an integer number (83548910592).

Almost surely, 2^{10334413141140} is an apocalyptic number.

10334413141140 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 10334413141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041390833664).

10334413141140 is an abundant number, since it is smaller than the sum of its proper divisors (21748368526188).

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

10334413141140 is a wasteful number, since it uses less digits than its factorization.

10334413141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10334413141140 its reverse (4114131443301), we get a palindrome (14448544584441).

The spelling of 10334413141140 in words is "ten trillion, three hundred thirty-four billion, four hundred thirteen million, one hundred forty-one thousand, one hundred forty".