544112432640 has 600 divisors, whose sum is σ = 2267058907872. Its totient is φ = 124366233600.

The previous prime is 544112432621. The next prime is 544112432641. The reversal of 544112432640 is 46234211445.

544112432640 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 1 + 2 + 4 + 3 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 544112432595 and 544112432604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544112432641) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 10133865 + ... + 10187415.

Almost surely, 2^544112432640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544112432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133529453936).

544112432640 is an abundant number, since it is smaller than the sum of its proper divisors (1722946475232).

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

544112432640 is an equidigital number, since it uses as much as digits as its factorization.

544112432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53600 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 544112432640 in words is "five hundred forty-four billion, one hundred twelve million, four hundred thirty-two thousand, six hundred forty".