10016394141600 has 2304 divisors, whose sum is σ = 46069851340800. Its totient is φ = 2040090624000.

The previous prime is 10016394141583. The next prime is 10016394141601. The reversal of 10016394141600 is 614149361001.

10016394141600 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 3 + 9 + 4 + 1 + 41 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10016394141601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23239893385 + ... + 23239893815.

It is an arithmetic number, because the mean of its divisors is an integer number (19995595200).

Almost surely, 2^{10016394141600} is an apocalyptic number.

10016394141600 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 10016394141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034925670400).

10016394141600 is an abundant number, since it is smaller than the sum of its proper divisors (36053457199200).

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

10016394141600 is a wasteful number, since it uses less digits than its factorization.

10016394141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10016394141600 in words is "ten trillion, sixteen billion, three hundred ninety-four million, one hundred forty-one thousand, six hundred".