16267342401024 has 320 divisors, whose sum is σ = 51025376666880. Its totient is φ = 4540320645120.

The previous prime is 16267342400993. The next prime is 16267342401053. The reversal of 16267342401024 is 42010424376261.

It is a happy number.

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, 100298107 + ... + 100460165.

It is an arithmetic number, because the mean of its divisors is an integer number (159454302084).

Almost surely, 2^{16267342401024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16267342401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25512688333440).

16267342401024 is an abundant number, since it is smaller than the sum of its proper divisors (34758034265856).

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

16267342401024 is a wasteful number, since it uses less digits than its factorization.

16267342401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162561 (or 162545 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

Adding to 16267342401024 its reverse (42010424376261), we get a palindrome (58277766777285).

The spelling of 16267342401024 in words is "sixteen trillion, two hundred sixty-seven billion, three hundred forty-two million, four hundred one thousand, twenty-four".