40324656100 has 81 divisors (see below), whose sum is σ = 89779063017. Its totient is φ = 15721013280.

The previous prime is 40324656017. The next prime is 40324656109. The reversal of 40324656100 is 165642304.

The square root of 40324656100 is 200810.

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

40324656100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14516876196 + 25807779904 = 120486^2 + 160648^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40324656109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86348067 + ... + 86348533.

Almost surely, 2^40324656100 is an apocalyptic number.

40324656100 is the 200810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40324656100

40324656100 is an abundant number, since it is smaller than the sum of its proper divisors (49454406917).

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

40324656100 is an equidigital number, since it uses as much as digits as its factorization.

40324656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 40324656100 in words is "forty billion, three hundred twenty-four million, six hundred fifty-six thousand, one hundred".