450013729397760 has 1056 divisors, whose sum is σ = 1758550492258560. Its totient is φ = 109052174499840.

The previous prime is 450013729397711. The next prime is 450013729397783. The reversal of 450013729397760 is 67793927310054.

It is a happy number.

450013729397760 is a `hidden beast` number, since 4 + 50 + 0 + 1 + 372 + 93 + 9 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×450013729397760³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86094072267 + ... + 86094077493.

It is an arithmetic number, because the mean of its divisors is an integer number (1665294026760).

Almost surely, 2^{450013729397760} is an apocalyptic number.

450013729397760 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 450013729397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879275246129280).

450013729397760 is an abundant number, since it is smaller than the sum of its proper divisors (1308536762860800).

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

450013729397760 is a wasteful number, since it uses less digits than its factorization.

450013729397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 450013729397760 in words is "four hundred fifty trillion, thirteen billion, seven hundred twenty-nine million, three hundred ninety-seven thousand, seven hundred sixty".