40975441920 has 896 divisors, whose sum is σ = 171117158400. Its totient is φ = 9109241856.

The previous prime is 40975441883. The next prime is 40975441963. The reversal of 40975441920 is 2914457904.

40975441920 is a `hidden beast` number, since 4 + 0 + 97 + 544 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518676441 + ... + 518676519.

Almost surely, 2^40975441920 is an apocalyptic number.

40975441920 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 40975441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85558579200).

40975441920 is an abundant number, since it is smaller than the sum of its proper divisors (130141716480).

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

40975441920 is an equidigital number, since it uses as much as digits as its factorization.

40975441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40975441920 in words is "forty billion, nine hundred seventy-five million, four hundred forty-one thousand, nine hundred twenty".