448737045120 has 1920 divisors, whose sum is σ = 2042271221760. Its totient is φ = 93055205376.

The previous prime is 448737045103. The next prime is 448737045121. The reversal of 448737045120 is 21540737844.

448737045120 is a `hidden beast` number, since 4 + 48 + 73 + 70 + 451 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448737045121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3533362497 + ... + 3533362623.

It is an arithmetic number, because the mean of its divisors is an integer number (1063682928).

Almost surely, 2^448737045120 is an apocalyptic number.

448737045120 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 448737045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021135610880).

448737045120 is an abundant number, since it is smaller than the sum of its proper divisors (1593534176640).

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

448737045120 is a wasteful number, since it uses less digits than its factorization.

448737045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 448737045120 in words is "four hundred forty-eight billion, seven hundred thirty-seven million, forty-five thousand, one hundred twenty".