40341332448 has 192 divisors, whose sum is σ = 125097799680. Its totient is φ = 12619436544.

The previous prime is 40341332429. The next prime is 40341332453. The reversal of 40341332448 is 84423314304.

40341332448 is a `hidden beast` number, since 40 + 341 + 33 + 244 + 8 = 666.

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

It is a congruent number.

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, 1034065 + ... + 1072367.

It is an arithmetic number, because the mean of its divisors is an integer number (651551040).

Almost surely, 2^40341332448 is an apocalyptic number.

40341332448 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 40341332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62548899840).

40341332448 is an abundant number, since it is smaller than the sum of its proper divisors (84756467232).

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

40341332448 is a wasteful number, since it uses less digits than its factorization.

40341332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38398 (or 38384 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40341332448 in words is "forty billion, three hundred forty-one million, three hundred thirty-two thousand, four hundred forty-eight".