42140433404124 has 288 divisors, whose sum is σ = 124800671503872. Its totient is φ = 11846854656000.

The previous prime is 42140433404119. The next prime is 42140433404219.

42140433404124 is a `hidden beast` number, since 4 + 2 + 140 + 433 + 40 + 41 + 2 + 4 = 666.

42140433404124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42140433404124² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4176036319 + ... + 4176046409.

It is an arithmetic number, because the mean of its divisors is an integer number (433335664944).

Almost surely, 2^{42140433404124} is an apocalyptic number.

42140433404124 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 42140433404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62400335751936).

42140433404124 is an abundant number, since it is smaller than the sum of its proper divisors (82660238099748).

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

42140433404124 is a wasteful number, since it uses less digits than its factorization.

42140433404124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18937 (or 18932 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4214043 and 3404124, that added together give a palindrome (7618167).

The spelling of 42140433404124 in words is "forty-two trillion, one hundred forty billion, four hundred thirty-three million, four hundred four thousand, one hundred twenty-four".