42001022010024 has 384 divisors, whose sum is σ = 143657783193600. Its totient is φ = 10768192980480.

The previous prime is 42001022010023. The next prime is 42001022010083.

42001022010024 is a `hidden beast` number, since 420 + 0 + 1 + 0 + 220 + 1 + 0 + 0 + 24 = 666.

42001022010024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42001022009979 and 42001022010006.

It is not an unprimeable number, because it can be changed into a prime (42001022010023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1810143207 + ... + 1810166409.

It is an arithmetic number, because the mean of its divisors is an integer number (374108810400).

Almost surely, 2^{42001022010024} is an apocalyptic number.

42001022010024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42001022010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71828891596800).

42001022010024 is an abundant number, since it is smaller than the sum of its proper divisors (101656761183576).

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

42001022010024 is a wasteful number, since it uses less digits than its factorization.

42001022010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27445 (or 27438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 4200102 and 2010024, that added together give a palindrome (6210126).

The spelling of 42001022010024 in words is "forty-two trillion, one billion, twenty-two million, ten thousand, twenty-four".