44212746240 has 384 divisors, whose sum is σ = 169265678400. Its totient is φ = 10882252800.

The previous prime is 44212746223. The next prime is 44212746271. The reversal of 44212746240 is 4264721244.

44212746240 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 27 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 44212746195 and 44212746204.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3588090 + ... + 3600390.

Almost surely, 2^44212746240 is an apocalyptic number.

44212746240 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 44212746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84632839200).

44212746240 is an abundant number, since it is smaller than the sum of its proper divisors (125052932160).

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

44212746240 is a wasteful number, since it uses less digits than its factorization.

44212746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 44212746240 in words is "forty-four billion, two hundred twelve million, seven hundred forty-six thousand, two hundred forty".