40553760 has 192 divisors, whose sum is σ = 141063552. Its totient is φ = 9732096.

The previous prime is 40553743. The next prime is 40553783. The reversal of 40553760 is 6735504.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 418032 + ... + 418128.

It is an arithmetic number, because the mean of its divisors is an integer number (734706).

Almost surely, 2^40553760 is an apocalyptic number.

40553760 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 40553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70531776).

40553760 is an abundant number, since it is smaller than the sum of its proper divisors (100509792).

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

40553760 is a wasteful number, since it uses less digits than its factorization.

40553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 40553760 is about 6368.1834144440. The cubic root of 40553760 is about 343.5661557987.

The spelling of 40553760 in words is "forty million, five hundred fifty-three thousand, seven hundred sixty".