40973328720 has 240 divisors, whose sum is σ = 139911379920. Its totient is φ = 10744233984.

The previous prime is 40973328709. The next prime is 40973328733. The reversal of 40973328720 is 2782337904.

It can be written as a sum of positive squares in 8 ways, for example, as 577152576 + 40396176144 = 24024^2 + 200988^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12365784 + ... + 12369096.

It is an arithmetic number, because the mean of its divisors is an integer number (582964083).

Almost surely, 2^40973328720 is an apocalyptic number.

40973328720 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 40973328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69955689960).

40973328720 is an abundant number, since it is smaller than the sum of its proper divisors (98938051200).

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

40973328720 is a wasteful number, since it uses less digits than its factorization.

40973328720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 40973328720 in words is "forty billion, nine hundred seventy-three million, three hundred twenty-eight thousand, seven hundred twenty".