4749141196800 has 4050 divisors, whose sum is σ = 23931860518104. Its totient is φ = 910924185600.

The previous prime is 4749141196759. The next prime is 4749141196823. The reversal of 4749141196800 is 86911419474.

It is a happy number.

4749141196800 is a `hidden beast` number, since 47 + 491 + 41 + 19 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4050).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 365318553594 + ... + 365318553606.

Almost surely, 2^{4749141196800} is an apocalyptic number.

4749141196800 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 4749141196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965930259052).

4749141196800 is an abundant number, since it is smaller than the sum of its proper divisors (19182719321304).

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

4749141196800 is a wasteful number, since it uses less digits than its factorization.

4749141196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 4749141196800 in words is "four trillion, seven hundred forty-nine billion, one hundred forty-one million, one hundred ninety-six thousand, eight hundred".