40819968 has 108 divisors (see below), whose sum is σ = 134560608. Its totient is φ = 11658240.

The previous prime is 40819957. The next prime is 40819973. The reversal of 40819968 is 86991804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14863 + ... + 17393.

Almost surely, 2^40819968 is an apocalyptic number.

40819968 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 40819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67280304).

40819968 is an abundant number, since it is smaller than the sum of its proper divisors (93740640).

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

40819968 is a wasteful number, since it uses less digits than its factorization.

40819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 40819968 is about 6389.0506337014. The cubic root of 40819968 is about 344.3162766373.

The spelling of 40819968 in words is "forty million, eight hundred nineteen thousand, nine hundred sixty-eight".