40882450320 has 480 divisors, whose sum is σ = 149594425344. Its totient is φ = 9975398400.

The previous prime is 40882450319. The next prime is 40882450321. The reversal of 40882450320 is 2305428804.

40882450320 is a `hidden beast` number, since 408 + 8 + 245 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40882450319) and next prime (40882450321).

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

It is not an unprimeable number, because it can be changed into a prime (40882450321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49795510 + ... + 49796330.

Almost surely, 2^40882450320 is an apocalyptic number.

40882450320 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 40882450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74797212672).

40882450320 is an abundant number, since it is smaller than the sum of its proper divisors (108711975024).

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

40882450320 is a wasteful number, since it uses less digits than its factorization.

40882450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40882450320 in words is "forty billion, eight hundred eighty-two million, four hundred fifty thousand, three hundred twenty".