40320293248 has 64 divisors (see below), whose sum is σ = 81109094400. Its totient is φ = 19964109312.

The previous prime is 40320293239. The next prime is 40320293249. The reversal of 40320293248 is 84239202304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320293249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10060461 + ... + 10064467.

It is an arithmetic number, because the mean of its divisors is an integer number (1267329600).

Almost surely, 2^40320293248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40554547200).

40320293248 is an abundant number, since it is smaller than the sum of its proper divisors (40788801152).

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

40320293248 is a wasteful number, since it uses less digits than its factorization.

40320293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 40320293248 in words is "forty billion, three hundred twenty million, two hundred ninety-three thousand, two hundred forty-eight".