40731768 has 256 divisors, whose sum is σ = 147456000. Its totient is φ = 10108800.

The previous prime is 40731727. The next prime is 40731787. The reversal of 40731768 is 86713704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515553 + ... + 515631.

It is an arithmetic number, because the mean of its divisors is an integer number (576000).

Almost surely, 2^40731768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40731768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73728000).

40731768 is an abundant number, since it is smaller than the sum of its proper divisors (106724232).

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

40731768 is a wasteful number, since it uses less digits than its factorization.

40731768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 40731768 is about 6382.1444671834. The cubic root of 40731768 is about 344.0681089227.

The spelling of 40731768 in words is "forty million, seven hundred thirty-one thousand, seven hundred sixty-eight".