40705920 has 192 divisors, whose sum is σ = 145117440. Its totient is φ = 10506240.

The previous prime is 40705919. The next prime is 40705921. The reversal of 40705920 is 2950704.

40705920 is a `hidden beast` number, since 4 + 0 + 70 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40705919) and next prime (40705921).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40705921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213025 + ... + 213215.

It is an arithmetic number, because the mean of its divisors is an integer number (755820).

Almost surely, 2^40705920 is an apocalyptic number.

40705920 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 40705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

40705920 is an abundant number, since it is smaller than the sum of its proper divisors (104411520).

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

40705920 is a wasteful number, since it uses less digits than its factorization.

40705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40705920 is about 6380.1191211450. The cubic root of 40705920 is about 343.9953127178.

The spelling of 40705920 in words is "forty million, seven hundred five thousand, nine hundred twenty".