10141133101440 has 128 divisors (see below), whose sum is σ = 35263485630720. Its totient is φ = 2458456504320.

The previous prime is 10141133101439. The next prime is 10141133101529. The reversal of 10141133101440 is 4410133114101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10141133101440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10141133101440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240062524 + ... + 240104763.

It is an arithmetic number, because the mean of its divisors is an integer number (275495981490).

Almost surely, 2^{10141133101440} is an apocalyptic number.

10141133101440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141133101440 is an abundant number, since it is smaller than the sum of its proper divisors (25122352529280).

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

10141133101440 is a wasteful number, since it uses less digits than its factorization.

10141133101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480167320 (or 480167308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10141133101440 its reverse (4410133114101), we get a palindrome (14551266215541).

The spelling of 10141133101440 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-three million, one hundred one thousand, four hundred forty".