42117716476000 has 96 divisors (see below), whose sum is σ = 112890795806880. Its totient is φ = 15315533248000.

The previous prime is 42117716475959. The next prime is 42117716476001. The reversal of 42117716476000 is 67461771124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117716476001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478566415 + ... + 478654414.

It is an arithmetic number, because the mean of its divisors is an integer number (1175945789655).

Almost surely, 2^{42117716476000} is an apocalyptic number.

42117716476000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42117716476000 is an abundant number, since it is smaller than the sum of its proper divisors (70773079330880).

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

42117716476000 is a wasteful number, since it uses less digits than its factorization.

42117716476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957220865 (or 957220847 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 42117716476000 in words is "forty-two trillion, one hundred seventeen billion, seven hundred sixteen million, four hundred seventy-six thousand".