44261427456 has 189 divisors, whose sum is σ = 132736900611. Its totient is φ = 14723513856.

The previous prime is 44261427377. The next prime is 44261427461. The reversal of 44261427456 is 65472416244.

It is a happy number.

The square root of 44261427456 is 210384.

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

44261427456 is a `hidden beast` number, since 4 + 4 + 2 + 614 + 27 + 4 + 5 + 6 = 666.

Its product of digits (1290240) is a multiple of the sum of its prime factors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 90885645 + ... + 90886131.

Almost surely, 2^44261427456 is an apocalyptic number.

44261427456 is the 210384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44261427456

44261427456 is an abundant number, since it is smaller than the sum of its proper divisors (88475473155).

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

44261427456 is an frugal number, since it uses more digits than its factorization.

44261427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 492 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 44261427456 in words is "forty-four billion, two hundred sixty-one million, four hundred twenty-seven thousand, four hundred fifty-six".