40704830581248 has 400 divisors, whose sum is σ = 126563344427520. Its totient is φ = 13010081587200.

The previous prime is 40704830581201. The next prime is 40704830581253. The reversal of 40704830581248 is 84218503840704.

40704830581248 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 4 + 8 + 30 + 581 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40704830581194 and 40704830581203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139988653 + ... + 140279123.

Almost surely, 2^{40704830581248} is an apocalyptic number.

40704830581248 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 40704830581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63281672213760).

40704830581248 is an abundant number, since it is smaller than the sum of its proper divisors (85858513846272).

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

40704830581248 is a wasteful number, since it uses less digits than its factorization.

40704830581248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290641 (or 290616 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 40704830581248 in words is "forty trillion, seven hundred four billion, eight hundred thirty million, five hundred eighty-one thousand, two hundred forty-eight".