4054198579200 has 936 divisors, whose sum is σ = 18104754185856. Its totient is φ = 842416128000.

The previous prime is 4054198579187. The next prime is 4054198579213. The reversal of 4054198579200 is 29758914504.

It is a happy number.

4054198579200 is a `hidden beast` number, since 4 + 0 + 5 + 41 + 9 + 8 + 579 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4054198579187) and next prime (4054198579213).

It is a super-2 number, since 2×4054198579200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70934635 + ... + 70991765.

It is an arithmetic number, because the mean of its divisors is an integer number (19342686096).

Almost surely, 2^{4054198579200} is an apocalyptic number.

4054198579200 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 4054198579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052377092928).

4054198579200 is an abundant number, since it is smaller than the sum of its proper divisors (14050555606656).

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

4054198579200 is a wasteful number, since it uses less digits than its factorization.

4054198579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57189 (or 57159 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 4054198579200 in words is "four trillion, fifty-four billion, one hundred ninety-eight million, five hundred seventy-nine thousand, two hundred".