40446921600 has 288 divisors, whose sum is σ = 147399539040. Its totient is φ = 10556006400.

The previous prime is 40446921563. The next prime is 40446921601. The reversal of 40446921600 is 612964404.

40446921600 is a `hidden beast` number, since 4 + 0 + 4 + 46 + 9 + 2 + 1 + 600 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40446921601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1338660 + ... + 1368540.

It is an arithmetic number, because the mean of its divisors is an integer number (511803955).

Almost surely, 2^40446921600 is an apocalyptic number.

40446921600 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 40446921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73699769520).

40446921600 is an abundant number, since it is smaller than the sum of its proper divisors (106952617440).

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

40446921600 is a wasteful number, since it uses less digits than its factorization.

40446921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29958 (or 29938 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40446921600 in words is "forty billion, four hundred forty-six million, nine hundred twenty-one thousand, six hundred".