42573063287040 has 864 divisors, whose sum is σ = 162032056300800. Its totient is φ = 9462700769280.

The previous prime is 42573063287011. The next prime is 42573063287081. The reversal of 42573063287040 is 4078236037524.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899984029 + ... + 900031331.

It is an arithmetic number, because the mean of its divisors is an integer number (187537102200).

Almost surely, 2^{42573063287040} is an apocalyptic number.

42573063287040 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 42573063287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81016028150400).

42573063287040 is an abundant number, since it is smaller than the sum of its proper divisors (119458993013760).

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

42573063287040 is a wasteful number, since it uses less digits than its factorization.

42573063287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47511 (or 47486 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 42573063287040 in words is "forty-two trillion, five hundred seventy-three billion, sixty-three million, two hundred eighty-seven thousand, forty".