4125493879200 has 1440 divisors, whose sum is σ = 16243134747840. Its totient is φ = 1015831756800.

The previous prime is 4125493879123. The next prime is 4125493879207. The reversal of 4125493879200 is 29783945214.

4125493879200 is a `hidden beast` number, since 4 + 1 + 2 + 54 + 9 + 387 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (4125493879207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12241821432 + ... + 12241821768.

It is an arithmetic number, because the mean of its divisors is an integer number (11279954686).

Almost surely, 2^{4125493879200} is an apocalyptic number.

4125493879200 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 4125493879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121567373920).

4125493879200 is an abundant number, since it is smaller than the sum of its proper divisors (12117640868640).

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

4125493879200 is a wasteful number, since it uses less digits than its factorization.

4125493879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4125493879200 in words is "four trillion, one hundred twenty-five billion, four hundred ninety-three million, eight hundred seventy-nine thousand, two hundred".