40651968 has 168 divisors, whose sum is σ = 130302000. Its totient is φ = 11139072.

The previous prime is 40651967. The next prime is 40651979. The reversal of 40651968 is 86915604.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (40651967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272758 + ... + 272906.

Almost surely, 2^40651968 is an apocalyptic number.

40651968 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 40651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65151000).

40651968 is an abundant number, since it is smaller than the sum of its proper divisors (89650032).

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

40651968 is a wasteful number, since it uses less digits than its factorization.

40651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 40651968 is about 6375.8895849913. The cubic root of 40651968 is about 343.8432673423.

The spelling of 40651968 in words is "forty million, six hundred fifty-one thousand, nine hundred sixty-eight".