4150051621200 has 1200 divisors, whose sum is σ = 16267581665280. Its totient is φ = 1009143152640.

The previous prime is 4150051621141. The next prime is 4150051621201. The reversal of 4150051621200 is 21261500514.

4150051621200 is a `hidden beast` number, since 4 + 15 + 0 + 0 + 5 + 1 + 621 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4150051621201) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 3244762161 + ... + 3244763439.

Almost surely, 2^{4150051621200} is an apocalyptic number.

4150051621200 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 4150051621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133790832640).

4150051621200 is an abundant number, since it is smaller than the sum of its proper divisors (12117530044080).

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

4150051621200 is a wasteful number, since it uses less digits than its factorization.

4150051621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 4150051621200 in words is "four trillion, one hundred fifty billion, fifty-one million, six hundred twenty-one thousand, two hundred".