40573996848000 has 6144 divisors, whose sum is σ = 200455557120000. Its totient is φ = 8047226880000.

The previous prime is 40573996847941. The next prime is 40573996848001. The reversal of 40573996848000 is 84869937504.

40573996848000 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 3 + 99 + 68 + 480 + 0 + 0 = 666.

40573996848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40573996848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 555808175964 + ... + 555808176036.

It is an arithmetic number, because the mean of its divisors is an integer number (32626230000).

Almost surely, 2^{40573996848000} is an apocalyptic number.

40573996848000 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 40573996848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100227778560000).

40573996848000 is an abundant number, since it is smaller than the sum of its proper divisors (159881560272000).

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

40573996848000 is a wasteful number, since it uses less digits than its factorization.

40573996848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40573996848000 in words is "forty trillion, five hundred seventy-three billion, nine hundred ninety-six million, eight hundred forty-eight thousand".