445542511234002 has 384 divisors, whose sum is σ = 1160657095852800. Its totient is φ = 112878833485824.

The previous prime is 445542511234001. The next prime is 445542511234129. The reversal of 445542511234002 is 200432115245544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (445542511234001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41550168213 + ... + 41550178935.

It is an arithmetic number, because the mean of its divisors is an integer number (3022544520450).

Almost surely, 2^{445542511234002} is an apocalyptic number.

445542511234002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 445542511234002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580328547926400).

445542511234002 is an abundant number, since it is smaller than the sum of its proper divisors (715114584618798).

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

445542511234002 is a wasteful number, since it uses less digits than its factorization.

445542511234002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12650 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 445542511234002 its reverse (200432115245544), we get a palindrome (645974626479546).

The spelling of 445542511234002 in words is "four hundred forty-five trillion, five hundred forty-two billion, five hundred eleven million, two hundred thirty-four thousand, two".