40705441920 has 1920 divisors, whose sum is σ = 190965297600. Its totient is φ = 8121876480.

The previous prime is 40705441919. The next prime is 40705441943. The reversal of 40705441920 is 2914450704.

It is a happy number.

40705441920 is a `hidden beast` number, since 40 + 70 + 544 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2142391671 + ... + 2142391689.

Almost surely, 2^40705441920 is an apocalyptic number.

40705441920 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 40705441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95482648800).

40705441920 is an abundant number, since it is smaller than the sum of its proper divisors (150259855680).

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

40705441920 is a wasteful number, since it uses less digits than its factorization.

40705441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40705441920 in words is "forty billion, seven hundred five million, four hundred forty-one thousand, nine hundred twenty".