449096797094400 has 3600 divisors, whose sum is σ = 2067293561154624. Its totient is φ = 94278582927360.

The previous prime is 449096797094369. The next prime is 449096797094401. The reversal of 449096797094400 is 4490797690944.

449096797094400 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 9 + 67 + 9 + 70 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×449096797094400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (449096797094401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 278423307994 + ... + 278423309606.

Almost surely, 2^{449096797094400} is an apocalyptic number.

449096797094400 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 449096797094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033646780577312).

449096797094400 is an abundant number, since it is smaller than the sum of its proper divisors (1618196764060224).

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

449096797094400 is a wasteful number, since it uses less digits than its factorization.

449096797094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 449096797094400 in words is "four hundred forty-nine trillion, ninety-six billion, seven hundred ninety-seven million, ninety-four thousand, four hundred".