40742615104 has 63 divisors (see below), whose sum is σ = 84593731117. Its totient is φ = 19467835904.

The previous prime is 40742614903. The next prime is 40742615107. The reversal of 40742615104 is 40151624704.

The square root of 40742615104 is 201848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11586369600 + 29156245504 = 107640^2 + 170752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40742615104.

It is not an unprimeable number, because it can be changed into a prime (40742615107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37139484 + ... + 37140580.

Almost surely, 2^40742615104 is an apocalyptic number.

40742615104 is the 201848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40742615104

40742615104 is an abundant number, since it is smaller than the sum of its proper divisors (43851116013).

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

40742615104 is an frugal number, since it uses more digits than its factorization.

40742615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 40742615104 in words is "forty billion, seven hundred forty-two million, six hundred fifteen thousand, one hundred four".