10355141046000 has 160 divisors (see below), whose sum is σ = 33691261032000. Its totient is φ = 2736037094400.

The previous prime is 10355141045993. The next prime is 10355141046001. The reversal of 10355141046000 is 64014155301.

It is a happy number.

It is a super-3 number, since 3×10355141046000³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355141046001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7262775 + ... + 8570774.

It is an arithmetic number, because the mean of its divisors is an integer number (210570381450).

Almost surely, 2^{10355141046000} is an apocalyptic number.

10355141046000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10355141046000 is an abundant number, since it is smaller than the sum of its proper divisors (23336119986000).

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

10355141046000 is a wasteful number, since it uses less digits than its factorization.

10355141046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15833684 (or 15833668 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10355141046000 in words is "ten trillion, three hundred fifty-five billion, one hundred forty-one million, forty-six thousand".