40570809024000 has 960 divisors, whose sum is σ = 140391746763840. Its totient is φ = 10387110297600.

The previous prime is 40570809023989. The next prime is 40570809024029. The reversal of 40570809024000 is 42090807504.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 40570809024000.

It is a congruent number.

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, 48939455586 + ... + 48939456414.

It is an arithmetic number, because the mean of its divisors is an integer number (146241402879).

Almost surely, 2^{40570809024000} is an apocalyptic number.

40570809024000 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 40570809024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70195873381920).

40570809024000 is an abundant number, since it is smaller than the sum of its proper divisors (99820937739840).

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

40570809024000 is an frugal number, since it uses more digits than its factorization.

40570809024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 40570809024000 in words is "forty trillion, five hundred seventy billion, eight hundred nine million, twenty-four thousand".