40309920000 has 1440 divisors, whose sum is σ = 179814440960. Its totient is φ = 8709120000.

The previous prime is 40309919987. The next prime is 40309920023. The reversal of 40309920000 is 2990304.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 937439979 + ... + 937440021.

Almost surely, 2^40309920000 is an apocalyptic number.

40309920000 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 40309920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89907220480).

40309920000 is an abundant number, since it is smaller than the sum of its proper divisors (139504520960).

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

40309920000 is an equidigital number, since it uses as much as digits as its factorization.

40309920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 40309920000 in words is "forty billion, three hundred nine million, nine hundred twenty thousand".