42124003375104 has 1344 divisors, whose sum is σ = 153556231046400. Its totient is φ = 11284439629824.

The previous prime is 42124003375093. The next prime is 42124003375121. The reversal of 42124003375104 is 40157330042124.

42124003375104 is a `hidden beast` number, since 4 + 212 + 4 + 0 + 0 + 337 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 111 ways as a sum of consecutive naturals, for example, 434268075984 + ... + 434268076080.

It is an arithmetic number, because the mean of its divisors is an integer number (114253148100).

Almost surely, 2^{42124003375104} 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 42124003375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76778115523200).

42124003375104 is an abundant number, since it is smaller than the sum of its proper divisors (111432227671296).

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

42124003375104 is an frugal number, since it uses more digits than its factorization.

42124003375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42124003375104 in words is "forty-two trillion, one hundred twenty-four billion, three million, three hundred seventy-five thousand, one hundred four".