44197340774400 has 2394 divisors, whose sum is σ = 185673680432292. Its totient is φ = 10345041100800.

The previous prime is 44197340774261. The next prime is 44197340774449. The reversal of 44197340774400 is 447704379144.

44197340774400 is a `hidden beast` number, since 4 + 4 + 1 + 97 + 3 + 40 + 77 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1524046233586 + ... + 1524046233614.

Almost surely, 2^{44197340774400} is an apocalyptic number.

44197340774400 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 44197340774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92836840216146).

44197340774400 is an abundant number, since it is smaller than the sum of its proper divisors (141476339657892).

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

44197340774400 is an frugal number, since it uses more digits than its factorization.

44197340774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 44197340774400 in words is "forty-four trillion, one hundred ninety-seven billion, three hundred forty million, seven hundred seventy-four thousand, four hundred".