40296981120 has 512 divisors, whose sum is σ = 144776678400. Its totient is φ = 9450455040.

The previous prime is 40296981107. The next prime is 40296981143. The reversal of 40296981120 is 2118969204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90963619 + ... + 90964061.

It is an arithmetic number, because the mean of its divisors is an integer number (282766950).

Almost surely, 2^40296981120 is an apocalyptic number.

40296981120 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 40296981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72388339200).

40296981120 is an abundant number, since it is smaller than the sum of its proper divisors (104479697280).

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

40296981120 is a wasteful number, since it uses less digits than its factorization.

40296981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 40296981120 in words is "forty billion, two hundred ninety-six million, nine hundred eighty-one thousand, one hundred twenty".