40742676 has 120 divisors (see below), whose sum is σ = 121663080. Its totient is φ = 11778048.

The previous prime is 40742671. The next prime is 40742701. The reversal of 40742676 is 67624704.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 39690000 = 1026^2 + 6300^2 .

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 40742676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40742671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71320 + ... + 71888.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 2^40742676 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 40742676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60831540).

40742676 is an abundant number, since it is smaller than the sum of its proper divisors (80920404).

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

40742676 is a wasteful number, since it uses less digits than its factorization.

40742676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 40742676 is about 6382.9989816700. The cubic root of 40742676 is about 344.0988200861.

The spelling of 40742676 in words is "forty million, seven hundred forty-two thousand, six hundred seventy-six".