7141042819800 has 768 divisors, whose sum is σ = 25878293683200. Its totient is φ = 1806520320000.

The previous prime is 7141042819789. The next prime is 7141042819829. The reversal of 7141042819800 is 89182401417.

7141042819800 is a `hidden beast` number, since 7 + 1 + 410 + 42 + 8 + 198 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12376157112 + ... + 12376157688.

It is an arithmetic number, because the mean of its divisors is an integer number (33695694900).

Almost surely, 2^{7141042819800} 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 7141042819800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939146841600).

7141042819800 is an abundant number, since it is smaller than the sum of its proper divisors (18737250863400).

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

7141042819800 is a wasteful number, since it uses less digits than its factorization.

7141042819800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 7141042819800 in words is "seven trillion, one hundred forty-one billion, forty-two million, eight hundred nineteen thousand, eight hundred".