42124341154410 has 192 divisors, whose sum is σ = 114522299394048. Its totient is φ = 10722480924672.

The previous prime is 42124341154409. The next prime is 42124341154411. The reversal of 42124341154410 is 1445114342124.

42124341154410 is a `hidden beast` number, since 4 + 2 + 12 + 43 + 41 + 154 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (42124341154409) and next prime (42124341154411).

It is a super-3 number, since 3×42124341154410³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42124341154411) 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, 3710409294 + ... + 3710420646.

It is an arithmetic number, because the mean of its divisors is an integer number (596470309344).

Almost surely, 2^{42124341154410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42124341154410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57261149697024).

42124341154410 is an abundant number, since it is smaller than the sum of its proper divisors (72397958239638).

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

42124341154410 is a wasteful number, since it uses less digits than its factorization.

42124341154410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14949 (or 14946 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 42124341154410 its reverse (1445114342124), we get a palindrome (43569455496534).

The spelling of 42124341154410 in words is "forty-two trillion, one hundred twenty-four billion, three hundred forty-one million, one hundred fifty-four thousand, four hundred ten".