40786944 has 176 divisors, whose sum is σ = 127339776. Its totient is φ = 11468800.

The previous prime is 40786937. The next prime is 40786957. The reversal of 40786944 is 44968704.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 40786896 and 40786905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574429 + ... + 574499.

Almost surely, 2^40786944 is an apocalyptic number.

40786944 is a gapful number since it is divisible by the number (44) 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 40786944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669888).

40786944 is an abundant number, since it is smaller than the sum of its proper divisors (86552832).

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

40786944 is a wasteful number, since it uses less digits than its factorization.

40786944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 40786944 is about 6386.4656892525. The cubic root of 40786944 is about 344.2233991477.

The spelling of 40786944 in words is "forty million, seven hundred eighty-six thousand, nine hundred forty-four".