40046482224 has 360 divisors, whose sum is σ = 132747387552. Its totient is φ = 11038003200.

The previous prime is 40046482219. The next prime is 40046482241. The reversal of 40046482224 is 42228464004.

It is a happy number.

40046482224 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 648 + 2 + 2 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354393592 + ... + 354393704.

Almost surely, 2^40046482224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40046482224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66373693776).

40046482224 is an abundant number, since it is smaller than the sum of its proper divisors (92700905328).

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

40046482224 is a wasteful number, since it uses less digits than its factorization.

40046482224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 40046482224 in words is "forty billion, forty-six million, four hundred eighty-two thousand, two hundred twenty-four".