10005402141 has 24 divisors (see below), whose sum is σ = 16520135424. Its totient is φ = 5716236960.

The previous prime is 10005402137. The next prime is 10005402157. The reversal of 10005402141 is 14120450001.

10005402141 is a `hidden beast` number, since 100 + 0 + 540 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 10005402141 - 2² = 10005402137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005402041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383451 + ... + 408711.

It is an arithmetic number, because the mean of its divisors is an integer number (688338976).

Almost surely, 2^10005402141 is an apocalyptic number.

It is an amenable number.

10005402141 is a deficient number, since it is larger than the sum of its proper divisors (6514733283).

10005402141 is a wasteful number, since it uses less digits than its factorization.

10005402141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31561 (or 31558 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10005402141 its reverse (14120450001), we get a palindrome (24125852142).

The spelling of 10005402141 in words is "ten billion, five million, four hundred two thousand, one hundred forty-one".