40344739600 has 225 divisors, whose sum is σ = 107920458565. Its totient is φ = 14494057600.

The previous prime is 40344739597. The next prime is 40344739663. The reversal of 40344739600 is 693744304.

The square root of 40344739600 is 200860.

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., 14524106256 + 25820633344 = 120516^2 + 160688^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 44 ways as a sum of consecutive naturals, for example, 486081159 + ... + 486081241.

Almost surely, 2^40344739600 is an apocalyptic number.

40344739600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40344739600 is the 200860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40344739600

40344739600 is an abundant number, since it is smaller than the sum of its proper divisors (67575718965).

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

40344739600 is an frugal number, since it uses more digits than its factorization.

40344739600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 40344739600 in words is "forty billion, three hundred forty-four million, seven hundred thirty-nine thousand, six hundred".