10224010362042 has 64 divisors (see below), whose sum is σ = 23721727392000. Its totient is φ = 3257921265984.

The previous prime is 10224010361993. The next prime is 10224010362047. The reversal of 10224010362042 is 24026301042201.

10224010362042 is a `hidden beast` number, since 1 + 0 + 2 + 24 + 0 + 10 + 3 + 620 + 4 + 2 = 666.

10224010362042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10224010361997 and 10224010362015.

It is not an unprimeable number, because it can be changed into a prime (10224010362047) 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, 285817 + ... + 4530972.

It is an arithmetic number, because the mean of its divisors is an integer number (370651990500).

Almost surely, 2^{10224010362042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224010362042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860863696000).

10224010362042 is an abundant number, since it is smaller than the sum of its proper divisors (13497717029958).

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

10224010362042 is a wasteful number, since it uses less digits than its factorization.

10224010362042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818532 (or 4818526 counting only the distinct ones).

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

The spelling of 10224010362042 in words is "ten trillion, two hundred twenty-four billion, ten million, three hundred sixty-two thousand, forty-two".