1641116540700 has 2592 divisors, whose sum is σ = 7367811554880. Its totient is φ = 309347942400.

The previous prime is 1641116540699. The next prime is 1641116540743. The reversal of 1641116540700 is 70456111461.

1641116540700 is a `hidden beast` number, since 1 + 6 + 41 + 1 + 1 + 6 + 540 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 40027232680 + ... + 40027232720.

It is an arithmetic number, because the mean of its divisors is an integer number (2842519890).

Almost surely, 2^{1641116540700} is an apocalyptic number.

1641116540700 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 1641116540700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683905777440).

1641116540700 is an abundant number, since it is smaller than the sum of its proper divisors (5726695014180).

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

1641116540700 is a wasteful number, since it uses less digits than its factorization.

1641116540700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1641116540700 in words is "one trillion, six hundred forty-one billion, one hundred sixteen million, five hundred forty thousand, seven hundred".