40483179648 has 256 divisors, whose sum is σ = 125190720000. Its totient is φ = 12861628416.

The previous prime is 40483179631. The next prime is 40483179689. The reversal of 40483179648 is 84697138404.

40483179648 is a `hidden beast` number, since 404 + 8 + 3 + 179 + 64 + 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 = 40483179594 and 40483179603.

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, 7915140 + ... + 7920252.

It is an arithmetic number, because the mean of its divisors is an integer number (489026250).

Almost surely, 2^40483179648 is an apocalyptic number.

40483179648 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 40483179648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62595360000).

40483179648 is an abundant number, since it is smaller than the sum of its proper divisors (84707540352).

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

40483179648 is a wasteful number, since it uses less digits than its factorization.

40483179648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40483179648 in words is "forty billion, four hundred eighty-three million, one hundred seventy-nine thousand, six hundred forty-eight".