42612954144 has 144 divisors (see below), whose sum is σ = 116525896704. Its totient is φ = 13634127360.

The previous prime is 42612954143. The next prime is 42612954149. The reversal of 42612954144 is 44145921624.

It is a junction number, because it is equal to n+sod(n) for n = 42612954096 and 42612954105.

It is not an unprimeable number, because it can be changed into a prime (42612954143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11714694 + ... + 11718330.

It is an arithmetic number, because the mean of its divisors is an integer number (809207616).

Almost surely, 2^42612954144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42612954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262948352).

42612954144 is an abundant number, since it is smaller than the sum of its proper divisors (73912942560).

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

42612954144 is a wasteful number, since it uses less digits than its factorization.

42612954144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3800 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 42612954144 in words is "forty-two billion, six hundred twelve million, nine hundred fifty-four thousand, one hundred forty-four".