4202276198400 has 2304 divisors, whose sum is σ = 18718801920000. Its totient is φ = 903333150720.

The previous prime is 4202276198371. The next prime is 4202276198441. The reversal of 4202276198400 is 48916722024.

4202276198400 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 27 + 619 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 17582745481 + ... + 17582745719.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480000).

Almost surely, 2^{4202276198400} is an apocalyptic number.

4202276198400 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 4202276198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960000).

4202276198400 is an abundant number, since it is smaller than the sum of its proper divisors (14516525721600).

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

4202276198400 is a wasteful number, since it uses less digits than its factorization.

4202276198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4202276198400 in words is "four trillion, two hundred two billion, two hundred seventy-six million, one hundred ninety-eight thousand, four hundred".