40335579648 has 480 divisors, whose sum is σ = 146672862336. Its totient is φ = 10385915904.

The previous prime is 40335579629. The next prime is 40335579679. The reversal of 40335579648 is 84697553304.

40335579648 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 5 + 579 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40335579594 and 40335579603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18029986 + ... + 18032222.

Almost surely, 2^40335579648 is an apocalyptic number.

40335579648 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 40335579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73336431168).

40335579648 is an abundant number, since it is smaller than the sum of its proper divisors (106337282688).

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

40335579648 is a wasteful number, since it uses less digits than its factorization.

40335579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 40335579648 in words is "forty billion, three hundred thirty-five million, five hundred seventy-nine thousand, six hundred forty-eight".