40309395984 has 525 divisors, whose sum is σ = 139433729099. Its totient is φ = 11275355520.

The previous prime is 40309395979. The next prime is 40309396009. The reversal of 40309395984 is 48959390304.

The square root of 40309395984 is 200772.

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

40309395984 is a `hidden beast` number, since 40 + 3 + 0 + 9 + 3 + 9 + 598 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19986042384 + 20323353600 = 141372^2 + 142560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 40309395984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 3100722762 + ... + 3100722774.

Almost surely, 2^40309395984 is an apocalyptic number.

40309395984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

40309395984 is the 200772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40309395984

40309395984 is an abundant number, since it is smaller than the sum of its proper divisors (99124333115).

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

40309395984 is an frugal number, since it uses more digits than its factorization.

40309395984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 40309395984 in words is "forty billion, three hundred nine million, three hundred ninety-five thousand, nine hundred eighty-four".