447439749120 has 2160 divisors, whose sum is σ = 2095368387840. Its totient is φ = 89436192768.

The previous prime is 447439749109. The next prime is 447439749121. The reversal of 447439749120 is 21947934744.

It is a happy number.

447439749120 is a `hidden beast` number, since 4 + 4 + 7 + 43 + 97 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447439749121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23549460471 + ... + 23549460489.

Almost surely, 2^447439749120 is an apocalyptic number.

447439749120 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 447439749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047684193920).

447439749120 is an abundant number, since it is smaller than the sum of its proper divisors (1647928638720).

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

447439749120 is an equidigital number, since it uses as much as digits as its factorization.

447439749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 447439749120 in words is "four hundred forty-seven billion, four hundred thirty-nine million, seven hundred forty-nine thousand, one hundred twenty".