42117237360 has 640 divisors, whose sum is σ = 164743741440. Its totient is φ = 9797760000.

The previous prime is 42117237271. The next prime is 42117237397. The reversal of 42117237360 is 6373271124.

42117237360 is a `hidden beast` number, since 4 + 211 + 72 + 373 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 155414025 + ... + 155414295.

It is an arithmetic number, because the mean of its divisors is an integer number (257412096).

Almost surely, 2^42117237360 is an apocalyptic number.

42117237360 is a gapful number since it is divisible by the number (40) 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 42117237360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82371870720).

42117237360 is an abundant number, since it is smaller than the sum of its proper divisors (122626504080).

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

42117237360 is a wasteful number, since it uses less digits than its factorization.

42117237360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 42117237360 in words is "forty-two billion, one hundred seventeen million, two hundred thirty-seven thousand, three hundred sixty".