42414514120100 has 18 divisors (see below), whose sum is σ = 92039495640834. Its totient is φ = 16965805648000.

The previous prime is 42414514120081. The next prime is 42414514120109. The reversal of 42414514120100 is 102141541424.

It can be written as a sum of positive squares in 3 ways, for example, as 10163382256036 + 32251131864064 = 3188006^2 + 5679008^2 .

It is not an unprimeable number, because it can be changed into a prime (42414514120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212072570501 + ... + 212072570700.

Almost surely, 2^{42414514120100} is an apocalyptic number.

It is an amenable number.

42414514120100 is an abundant number, since it is smaller than the sum of its proper divisors (49624981520734).

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

42414514120100 is a wasteful number, since it uses less digits than its factorization.

42414514120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424145141215 (or 424145141208 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 42414514120100 its reverse (102141541424), we get a palindrome (42516655661524).

The spelling of 42414514120100 in words is "forty-two trillion, four hundred fourteen billion, five hundred fourteen million, one hundred twenty thousand, one hundred".