450011114001240 has 64 divisors (see below), whose sum is σ = 1472763645826560. Its totient is φ = 109093603393920.

The previous prime is 450011114001223. The next prime is 450011114001247. The reversal of 450011114001240 is 42100411110054.

It is a happy number.

It is a super-5 number, since 5×450011114001240⁵ (a number of 74 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 450011114001240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450011114001247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170458753984 + ... + 170458756623.

It is an arithmetic number, because the mean of its divisors is an integer number (23011931966040).

Almost surely, 2^{450011114001240} is an apocalyptic number.

450011114001240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450011114001240 is an abundant number, since it is smaller than the sum of its proper divisors (1022752531825320).

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

450011114001240 is a wasteful number, since it uses less digits than its factorization.

450011114001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340917510632 (or 340917510628 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 450011114001240 its reverse (42100411110054), we get a palindrome (492111525111294).

The spelling of 450011114001240 in words is "four hundred fifty trillion, eleven billion, one hundred fourteen million, one thousand, two hundred forty".