40742361506 has 128 divisors (see below), whose sum is σ = 83631439872. Its totient is φ = 14414400000.

The previous prime is 40742361487. The next prime is 40742361521. The reversal of 40742361506 is 60516324704.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40742361506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5816006 + ... + 5823006.

It is an arithmetic number, because the mean of its divisors is an integer number (653370624).

Almost surely, 2^40742361506 is an apocalyptic number.

40742361506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

40742361506 is an abundant number, since it is smaller than the sum of its proper divisors (42889078366).

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

40742361506 is a wasteful number, since it uses less digits than its factorization.

40742361506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 40742361506 in words is "forty billion, seven hundred forty-two million, three hundred sixty-one thousand, five hundred six".