42060431574000 has 640 divisors, whose sum is σ = 172268502681600. Its totient is φ = 9609657523200.

The previous prime is 42060431573981. The next prime is 42060431574019. The reversal of 42060431574000 is 47513406024.

42060431574000 is a `hidden beast` number, since 4 + 2 + 0 + 60 + 43 + 157 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42060431573981) and next prime (42060431574019).

It is a super-2 number, since 2×42060431574000² (a number of 28 digits) contains 22 as substring.

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, 921163171 + ... + 921208829.

It is an arithmetic number, because the mean of its divisors is an integer number (269169535440).

Almost surely, 2^{42060431574000} is an apocalyptic number.

42060431574000 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 42060431574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86134251340800).

42060431574000 is an abundant number, since it is smaller than the sum of its proper divisors (130208071107600).

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

42060431574000 is a wasteful number, since it uses less digits than its factorization.

42060431574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48135 (or 48113 counting only the distinct ones).

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

The spelling of 42060431574000 in words is "forty-two trillion, sixty billion, four hundred thirty-one million, five hundred seventy-four thousand".