100366413766740 has 432 divisors, whose sum is σ = 345552388167168. Its totient is φ = 23538195648000.

The previous prime is 100366413766727. The next prime is 100366413766793. The reversal of 100366413766740 is 47667314663001.

100366413766740 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 66 + 413 + 76 + 67 + 40 = 666.

It is a super-3 number, since 3×100366413766740³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2066701699 + ... + 2066750261.

It is an arithmetic number, because the mean of its divisors is an integer number (799889787424).

Almost surely, 2^{100366413766740} is an apocalyptic number.

100366413766740 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 100366413766740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172776194083584).

100366413766740 is an abundant number, since it is smaller than the sum of its proper divisors (245185974400428).

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

100366413766740 is a wasteful number, since it uses less digits than its factorization.

100366413766740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51692 (or 51676 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 100366413766740 in words is "one hundred trillion, three hundred sixty-six billion, four hundred thirteen million, seven hundred sixty-six thousand, seven hundred forty".