40482006048 has 144 divisors (see below), whose sum is σ = 125814832416. Its totient is φ = 12244945920.

The previous prime is 40482006017. The next prime is 40482006073. The reversal of 40482006048 is 84060028404.

40482006048 is a `hidden beast` number, since 4 + 0 + 48 + 2 + 0 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772236 + ... + 1794932.

It is an arithmetic number, because the mean of its divisors is an integer number (873714114).

Almost surely, 2^40482006048 is an apocalyptic number.

40482006048 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 40482006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62907416208).

40482006048 is an abundant number, since it is smaller than the sum of its proper divisors (85332826368).

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

40482006048 is a wasteful number, since it uses less digits than its factorization.

40482006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23287 (or 23276 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 40482006048 in words is "forty billion, four hundred eighty-two million, six thousand, forty-eight".