40448329488 has 180 divisors, whose sum is σ = 131853999420. Its totient is φ = 11541454848.

The previous prime is 40448329487. The next prime is 40448329489. The reversal of 40448329488 is 88492384404.

40448329488 is a `hidden beast` number, since 4 + 0 + 448 + 32 + 94 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (40448329487) and next prime (40448329489).

It can be written as a sum of positive squares in 2 ways, for example, as 35784532224 + 4663797264 = 189168^2 + 68292^2 .

It is a super-3 number, since 3×40448329488³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40448329487) 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, 6043648 + ... + 6050336.

It is an arithmetic number, because the mean of its divisors is an integer number (732522219).

Almost surely, 2^40448329488 is an apocalyptic number.

40448329488 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 40448329488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65926999710).

40448329488 is an abundant number, since it is smaller than the sum of its proper divisors (91405669932).

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

40448329488 is a wasteful number, since it uses less digits than its factorization.

40448329488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 40448329488 in words is "forty billion, four hundred forty-eight million, three hundred twenty-nine thousand, four hundred eighty-eight".