40296480000 has 720 divisors, whose sum is σ = 156315962880. Its totient is φ = 9022464000.

The previous prime is 40296479999. The next prime is 40296480053. The reversal of 40296480000 is 8469204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225119911 + ... + 225120089.

It is an arithmetic number, because the mean of its divisors is an integer number (217105504).

Almost surely, 2^40296480000 is an apocalyptic number.

40296480000 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 40296480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78157981440).

40296480000 is an abundant number, since it is smaller than the sum of its proper divisors (116019482880).

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

40296480000 is an equidigital number, since it uses as much as digits as its factorization.

40296480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 40296480000 in words is "forty billion, two hundred ninety-six million, four hundred eighty thousand".