40676096448 has 168 divisors, whose sum is σ = 126550814208. Its totient is φ = 12416882688.

The previous prime is 40676096431. The next prime is 40676096501. The reversal of 40676096448 is 84469067604.

40676096448 is a `hidden beast` number, since 40 + 6 + 76 + 0 + 96 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40676096394 and 40676096403.

It is a congruent number.

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, 929590 + ... + 972362.

It is an arithmetic number, because the mean of its divisors is an integer number (753278656).

Almost surely, 2^40676096448 is an apocalyptic number.

40676096448 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 40676096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63275407104).

40676096448 is an abundant number, since it is smaller than the sum of its proper divisors (85874717760).

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

40676096448 is a wasteful number, since it uses less digits than its factorization.

40676096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42931 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 40676096448 in words is "forty billion, six hundred seventy-six million, ninety-six thousand, four hundred forty-eight".