10462633126242 has 64 divisors (see below), whose sum is σ = 24181161984000. Its totient is φ = 2982661735680.

The previous prime is 10462633126223. The next prime is 10462633126243. The reversal of 10462633126242 is 24262133626401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10462633126194 and 10462633126203.

It is not an unprimeable number, because it can be changed into a prime (10462633126243) 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, 429759 + ... + 4594557.

It is an arithmetic number, because the mean of its divisors is an integer number (377830656000).

Almost surely, 2^{10462633126242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10462633126242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090580992000).

10462633126242 is an abundant number, since it is smaller than the sum of its proper divisors (13718528857758).

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

10462633126242 is a wasteful number, since it uses less digits than its factorization.

10462633126242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167071.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 10462633126242 in words is "ten trillion, four hundred sixty-two billion, six hundred thirty-three million, one hundred twenty-six thousand, two hundred forty-two".