40355920 has 80 divisors (see below), whose sum is σ = 103475520. Its totient is φ = 14636160.

The previous prime is 40355911. The next prime is 40355921. The reversal of 40355920 is 2955304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40355921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106291 + ... + 106669.

It is an arithmetic number, because the mean of its divisors is an integer number (1293444).

Almost surely, 2^40355920 is an apocalyptic number.

40355920 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 40355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51737760).

40355920 is an abundant number, since it is smaller than the sum of its proper divisors (63119600).

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

40355920 is a wasteful number, since it uses less digits than its factorization.

40355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 40355920 is about 6352.6309510312. The cubic root of 40355920 is about 343.0065532667.

The spelling of 40355920 in words is "forty million, three hundred fifty-five thousand, nine hundred twenty".