10506041442 has 64 divisors (see below), whose sum is σ = 25822258560. Its totient is φ = 3145252032.

The previous prime is 10506041417. The next prime is 10506041449. The reversal of 10506041442 is 24414060501.

10506041442 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 604 + 14 + 42 = 666.

It is a super-2 number, since 2×10506041442² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10506041449) 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, 176268 + ... + 228215.

It is an arithmetic number, because the mean of its divisors is an integer number (403472790).

Almost surely, 2^10506041442 is an apocalyptic number.

10506041442 is an abundant number, since it is smaller than the sum of its proper divisors (15316217118).

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

10506041442 is a wasteful number, since it uses less digits than its factorization.

10506041442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404544 (or 404538 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10506041442 in words is "ten billion, five hundred six million, forty-one thousand, four hundred forty-two".