1641531566400 has 336 divisors, whose sum is σ = 5898645462528. Its totient is φ = 396358400000.

The previous prime is 1641531566399. The next prime is 1641531566419. The reversal of 1641531566400 is 46651351461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13190869 + ... + 13314731.

It is an arithmetic number, because the mean of its divisors is an integer number (17555492448).

Almost surely, 2^{1641531566400} is an apocalyptic number.

1641531566400 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 1641531566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949322731264).

1641531566400 is an abundant number, since it is smaller than the sum of its proper divisors (4257113896128).

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

1641531566400 is a wasteful number, since it uses less digits than its factorization.

1641531566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124150 (or 124135 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1641531566400 in words is "one trillion, six hundred forty-one billion, five hundred thirty-one million, five hundred sixty-six thousand, four hundred".