449700449157120 has 3264 divisors, whose sum is σ = 1834248426209280. Its totient is φ = 93490633506816.

The previous prime is 449700449157103. The next prime is 449700449157121. The reversal of 449700449157120 is 21751944007944.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449700449157121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3540948418497 + ... + 3540948418623.

Almost surely, 2^{449700449157120} is an apocalyptic number.

449700449157120 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 449700449157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917124213104640).

449700449157120 is an abundant number, since it is smaller than the sum of its proper divisors (1384547977052160).

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

449700449157120 is a wasteful number, since it uses less digits than its factorization.

449700449157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 449700449157120 in words is "four hundred forty-nine trillion, seven hundred billion, four hundred forty-nine million, one hundred fifty-seven thousand, one hundred twenty".