4200088364010 has 1152 divisors, whose sum is σ = 14704203870720. Its totient is φ = 806912409600.

The previous prime is 4200088364009. The next prime is 4200088364057. The reversal of 4200088364010 is 104638800024.

4200088364010 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 0 + 8 + 8 + 3 + 640 + 1 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47192004046 + ... + 47192004134.

It is an arithmetic number, because the mean of its divisors is an integer number (12764065860).

Almost surely, 2^{4200088364010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200088364010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352101935360).

4200088364010 is an abundant number, since it is smaller than the sum of its proper divisors (10504115506710).

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

4200088364010 is a wasteful number, since it uses less digits than its factorization.

4200088364010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4200088364010 in words is "four trillion, two hundred billion, eighty-eight million, three hundred sixty-four thousand, ten".