40582321920 has 1152 divisors, whose sum is σ = 176994048000. Its totient is φ = 8707129344.

The previous prime is 40582321909. The next prime is 40582321921. The reversal of 40582321920 is 2912328504.

It is a happy number.

40582321920 is a `hidden beast` number, since 40 + 582 + 3 + 2 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (40582321921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 372314826 + ... + 372314934.

Almost surely, 2^40582321920 is an apocalyptic number.

40582321920 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 40582321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88497024000).

40582321920 is an abundant number, since it is smaller than the sum of its proper divisors (136411726080).

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

40582321920 is an equidigital number, since it uses as much as digits as its factorization.

40582321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40582321920 in words is "forty billion, five hundred eighty-two million, three hundred twenty-one thousand, nine hundred twenty".