4153066354400 has 144 divisors (see below), whose sum is σ = 10467545034240. Its totient is φ = 1607359372800.

The previous prime is 4153066354373. The next prime is 4153066354523. The reversal of 4153066354400 is 44536603514.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196083011 + ... + 196104189.

It is an arithmetic number, because the mean of its divisors is an integer number (72691284960).

Almost surely, 2^{4153066354400} is an apocalyptic number.

4153066354400 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 4153066354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233772517120).

4153066354400 is an abundant number, since it is smaller than the sum of its proper divisors (6314478679840).

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

4153066354400 is a wasteful number, since it uses less digits than its factorization.

4153066354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29137 (or 29124 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 4153066354400 in words is "four trillion, one hundred fifty-three billion, sixty-six million, three hundred fifty-four thousand, four hundred".