449311204742400 has 12960 divisors, whose sum is σ = 2486467267409664. Its totient is φ = 77014499328000.

The previous prime is 449311204742377. The next prime is 449311204742419. The reversal of 449311204742400 is 4247402113944.

449311204742400 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 11 + 204 + 7 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 8477569900774 + ... + 8477569900826.

Almost surely, 2^{449311204742400} is an apocalyptic number.

449311204742400 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 449311204742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243233633704832).

449311204742400 is an abundant number, since it is smaller than the sum of its proper divisors (2037156062667264).

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

449311204742400 is a wasteful number, since it uses less digits than its factorization.

449311204742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 449311204742400 in words is "four hundred forty-nine trillion, three hundred eleven billion, two hundred four million, seven hundred forty-two thousand, four hundred".