450140240000000 has 352 divisors, whose sum is σ = 1227055016543616. Its totient is φ = 163687040000000.

The previous prime is 450140239999943. The next prime is 450140240000051. The reversal of 450140240000000 is 42041054.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879744239 + ... + 880255761.

Almost surely, 2^{450140240000000} is an apocalyptic number.

450140240000000 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 450140240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613527508271808).

450140240000000 is an abundant number, since it is smaller than the sum of its proper divisors (776914776543616).

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

450140240000000 is an frugal number, since it uses more digits than its factorization.

450140240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511589 (or 511541 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 450140240000000 its reverse (42041054), we get a palindrome (450140282041054).

The spelling of 450140240000000 in words is "four hundred fifty trillion, one hundred forty billion, two hundred forty million", and thus it is an aban number.