1642506391200 has 432 divisors, whose sum is σ = 5651201799936. Its totient is φ = 414313574400.

The previous prime is 1642506391147. The next prime is 1642506391249. The reversal of 1642506391200 is 21936052461.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 858601444 + ... + 858603356.

It is an arithmetic number, because the mean of its divisors is an integer number (13081485648).

Almost surely, 2^{1642506391200} is an apocalyptic number.

1642506391200 is a gapful number since it is divisible by the number (10) 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 1642506391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825600899968).

1642506391200 is an abundant number, since it is smaller than the sum of its proper divisors (4008695408736).

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

1642506391200 is a wasteful number, since it uses less digits than its factorization.

1642506391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 1642506391200 in words is "one trillion, six hundred forty-two billion, five hundred six million, three hundred ninety-one thousand, two hundred".