42046609775040 has 1120 divisors, whose sum is σ = 169402896875520. Its totient is φ = 9821755367424.

The previous prime is 42046609775011. The next prime is 42046609775069. The reversal of 42046609775040 is 4057790664024.

42046609775040 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 6 + 60 + 9 + 77 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42046609775011) and next prime (42046609775069).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 984238801 + ... + 984281519.

It is an arithmetic number, because the mean of its divisors is an integer number (151252586496).

Almost surely, 2^{42046609775040} is an apocalyptic number.

42046609775040 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 42046609775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701448437760).

42046609775040 is an abundant number, since it is smaller than the sum of its proper divisors (127356287100480).

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

42046609775040 is a wasteful number, since it uses less digits than its factorization.

42046609775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42911 (or 42892 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 42046609775040 in words is "forty-two trillion, forty-six billion, six hundred nine million, seven hundred seventy-five thousand, forty".