4200296201160 has 512 divisors, whose sum is σ = 13643968665600. Its totient is φ = 1032351989760.

The previous prime is 4200296201119. The next prime is 4200296201177. The reversal of 4200296201160 is 611026920024.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1569029742 + ... + 1569032418.

It is an arithmetic number, because the mean of its divisors is an integer number (26648376300).

Almost surely, 2^{4200296201160} is an apocalyptic number.

4200296201160 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 4200296201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6821984332800).

4200296201160 is an abundant number, since it is smaller than the sum of its proper divisors (9443672464440).

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

4200296201160 is a wasteful number, since it uses less digits than its factorization.

4200296201160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 4200296201160 in words is "four trillion, two hundred billion, two hundred ninety-six million, two hundred one thousand, one hundred sixty".