4166561737800 has 2592 divisors, whose sum is σ = 19005532809120. Its totient is φ = 839472076800.

The previous prime is 4166561737781. The next prime is 4166561737831. The reversal of 4166561737800 is 87371656614.

4166561737800 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 561 + 7 + 3 + 78 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 30412859332 + ... + 30412859468.

It is an arithmetic number, because the mean of its divisors is an integer number (7332381485).

Almost surely, 2^{4166561737800} is an apocalyptic number.

4166561737800 is a gapful number since it is divisible by the number (40) 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 4166561737800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9502766404560).

4166561737800 is an abundant number, since it is smaller than the sum of its proper divisors (14838971071320).

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

4166561737800 is a wasteful number, since it uses less digits than its factorization.

4166561737800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4166561737800 in words is "four trillion, one hundred sixty-six billion, five hundred sixty-one million, seven hundred thirty-seven thousand, eight hundred".