40375984320 has 420 divisors, whose sum is σ = 162040763040. Its totient is φ = 9227215872.

The previous prime is 40375984307. The next prime is 40375984331. The reversal of 40375984320 is 2348957304.

40375984320 is a `hidden beast` number, since 4 + 0 + 37 + 598 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

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 59 ways as a sum of consecutive naturals, for example, 6911961 + ... + 6917799.

Almost surely, 2^40375984320 is an apocalyptic number.

40375984320 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 40375984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81020381520).

40375984320 is an abundant number, since it is smaller than the sum of its proper divisors (121664778720).

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

40375984320 is an equidigital number, since it uses as much as digits as its factorization.

40375984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40375984320 in words is "forty billion, three hundred seventy-five million, nine hundred eighty-four thousand, three hundred twenty".