40845600 has 288 divisors, whose sum is σ = 154990080. Its totient is φ = 10368000.

The previous prime is 40845593. The next prime is 40845643. The reversal of 40845600 is 654804.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669570 + ... + 669630.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^40845600 is an apocalyptic number.

40845600 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 40845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

40845600 is an abundant number, since it is smaller than the sum of its proper divisors (114144480).

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

40845600 is a wasteful number, since it uses less digits than its factorization.

40845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40845600 is about 6391.0562507304. The cubic root of 40845600 is about 344.3883301658.

The spelling of 40845600 in words is "forty million, eight hundred forty-five thousand, six hundred".