40971648 has 64 divisors (see below), whose sum is σ = 113587200. Its totient is φ = 13060608.

The previous prime is 40971641. The next prime is 40971661. The reversal of 40971648 is 84617904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40971641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6513 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (1774800).

Almost surely, 2^40971648 is an apocalyptic number.

40971648 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 40971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56793600).

40971648 is an abundant number, since it is smaller than the sum of its proper divisors (72615552).

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

40971648 is a wasteful number, since it uses less digits than its factorization.

40971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 40971648 is about 6400.9099353139. The cubic root of 40971648 is about 344.7422229010.

The spelling of 40971648 in words is "forty million, nine hundred seventy-one thousand, six hundred forty-eight".