40546228320 has 240 divisors, whose sum is σ = 154102299120. Its totient is φ = 9980568576.

The previous prime is 40546228313. The next prime is 40546228337. The reversal of 40546228320 is 2382264504.

40546228320 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 622 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48151 + ... + 288809.

It is an arithmetic number, because the mean of its divisors is an integer number (642092913).

Almost surely, 2^40546228320 is an apocalyptic number.

40546228320 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 40546228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051149560).

40546228320 is an abundant number, since it is smaller than the sum of its proper divisors (113556070800).

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

40546228320 is a wasteful number, since it uses less digits than its factorization.

40546228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240699 (or 240682 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40546228320 in words is "forty billion, five hundred forty-six million, two hundred twenty-eight thousand, three hundred twenty".