40553856 has 192 divisors, whose sum is σ = 137479680. Its totient is φ = 11234304.

The previous prime is 40553831. The next prime is 40553869. The reversal of 40553856 is 65835504.

40553856 = 174² + 175² + ... + 502².

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 40553856.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 378955 + ... + 379061.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 2^40553856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

40553856 is an abundant number, since it is smaller than the sum of its proper divisors (96925824).

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

40553856 is a wasteful number, since it uses less digits than its factorization.

40553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 40553856 is about 6368.1909519109. The cubic root of 40553856 is about 343.5664268984.

The spelling of 40553856 in words is "forty million, five hundred fifty-three thousand, eight hundred fifty-six".