40642560000 has 1125 divisors, whose sum is σ = 176501313219. Its totient is φ = 9289728000.

The previous prime is 40642559989. The next prime is 40642560001. The reversal of 40642560000 is 6524604.

It is a happy number.

The square root of 40642560000 is 201600.

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

40642560000 is a `hidden beast` number, since 40 + 64 + 2 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3186376704 + 37456183296 = 56448^2 + 193536^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40642560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5806079997 + ... + 5806080003.

Almost surely, 2^40642560000 is an apocalyptic number.

40642560000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40642560000 is the 201600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40642560000

40642560000 is an abundant number, since it is smaller than the sum of its proper divisors (135858753219).

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

40642560000 is an frugal number, since it uses more digits than its factorization.

40642560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 40642560000 in words is "forty billion, six hundred forty-two million, five hundred sixty thousand".