452106542468640 has 192 divisors, whose sum is σ = 1499202550419840. Its totient is φ = 114207823134720.

The previous prime is 452106542468611. The next prime is 452106542468683. The reversal of 452106542468640 is 46864245601254.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 120182352 + ... + 123887088.

It is an arithmetic number, because the mean of its divisors is an integer number (7808346616770).

Almost surely, 2^{452106542468640} is an apocalyptic number.

452106542468640 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 452106542468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749601275209920).

452106542468640 is an abundant number, since it is smaller than the sum of its proper divisors (1047096007951200).

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

452106542468640 is a wasteful number, since it uses less digits than its factorization.

452106542468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718155 (or 3718147 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 57.

The spelling of 452106542468640 in words is "four hundred fifty-two trillion, one hundred six billion, five hundred forty-two million, four hundred sixty-eight thousand, six hundred forty".