40380882048 has 320 divisors, whose sum is σ = 130461851520. Its totient is φ = 12324648960.

The previous prime is 40380882043. The next prime is 40380882089. The reversal of 40380882048 is 84028808304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40380881994 and 40380882012.

It is not an unprimeable number, because it can be changed into a prime (40380882043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17655561 + ... + 17657847.

It is an arithmetic number, because the mean of its divisors is an integer number (407693286).

Almost surely, 2^40380882048 is an apocalyptic number.

40380882048 is a gapful number since it is divisible by the number (48) 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 40380882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65230925760).

40380882048 is an abundant number, since it is smaller than the sum of its proper divisors (90080969472).

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

40380882048 is a wasteful number, since it uses less digits than its factorization.

40380882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 40380882048 in words is "forty billion, three hundred eighty million, eight hundred eighty-two thousand, forty-eight".