10141342403040 has 288 divisors, whose sum is σ = 36979240858560. Its totient is φ = 2521926254592.

The previous prime is 10141342403033. The next prime is 10141342403047. The reversal of 10141342403040 is 4030424314101.

10141342403040 is a `hidden beast` number, since 1 + 0 + 1 + 413 + 4 + 240 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10141342403033) and next prime (10141342403047).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 10141342402995 and 10141342403013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141342403047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767997 + ... + 4568643.

It is an arithmetic number, because the mean of its divisors is an integer number (128400141870).

Almost surely, 2^{10141342403040} is an apocalyptic number.

10141342403040 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 10141342403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489620429280).

10141342403040 is an abundant number, since it is smaller than the sum of its proper divisors (26837898455520).

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

10141342403040 is a wasteful number, since it uses less digits than its factorization.

10141342403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800794 (or 3800783 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10141342403040 its reverse (4030424314101), we get a palindrome (14171766717141).

The spelling of 10141342403040 in words is "ten trillion, one hundred forty-one billion, three hundred forty-two million, four hundred three thousand, forty".