44012273760 has 1152 divisors, whose sum is σ = 204472719360. Its totient is φ = 8350138368.

The previous prime is 44012273749. The next prime is 44012273761. The reversal of 44012273760 is 6737221044.

44012273760 is a `hidden beast` number, since 440 + 122 + 7 + 37 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44012273761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51236211 + ... + 51237069.

It is an arithmetic number, because the mean of its divisors is an integer number (177493680).

Almost surely, 2^44012273760 is an apocalyptic number.

44012273760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44012273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102236359680).

44012273760 is an abundant number, since it is smaller than the sum of its proper divisors (160460445600).

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

44012273760 is a wasteful number, since it uses less digits than its factorization.

44012273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 44012273760 in words is "forty-four billion, twelve million, two hundred seventy-three thousand, seven hundred sixty".