449960940156672 has 2592 divisors, whose sum is σ = 1692502358077440. Its totient is φ = 114124308480000.

The previous prime is 449960940156661. The next prime is 449960940156719. The reversal of 449960940156672 is 276651049069944.

It is a happy number.

449960940156672 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 609 + 4 + 0 + 1 + 5 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×449960940156672² (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 a self number, because there is not a number n which added to its sum of digits gives 449960940156672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 411675150558 + ... + 411675151650.

Almost surely, 2^{449960940156672} is an apocalyptic number.

449960940156672 is a gapful number since it is divisible by the number (42) 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 449960940156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846251179038720).

449960940156672 is an abundant number, since it is smaller than the sum of its proper divisors (1242541417920768).

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

449960940156672 is a wasteful number, since it uses less digits than its factorization.

449960940156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 449960940156672 in words is "four hundred forty-nine trillion, nine hundred sixty billion, nine hundred forty million, one hundred fifty-six thousand, six hundred seventy-two".