40333832448 has 288 divisors, whose sum is σ = 134299237632. Its totient is φ = 10462003200.

The previous prime is 40333832431. The next prime is 40333832527. The reversal of 40333832448 is 84423833304.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4258438 + ... + 4267898.

Almost surely, 2^40333832448 is an apocalyptic number.

40333832448 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 40333832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67149618816).

40333832448 is an abundant number, since it is smaller than the sum of its proper divisors (93965405184).

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

40333832448 is a wasteful number, since it uses less digits than its factorization.

40333832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9561 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 40333832448 in words is "forty billion, three hundred thirty-three million, eight hundred thirty-two thousand, four hundred forty-eight".