4292049898752 has 1152 divisors, whose sum is σ = 15615424290816. Its totient is φ = 1012531200000.

The previous prime is 4292049898663. The next prime is 4292049898819. The reversal of 4292049898752 is 2578989402924.

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 127 ways as a sum of consecutive naturals, for example, 4162996477 + ... + 4162997507.

It is an arithmetic number, because the mean of its divisors is an integer number (13555055808).

Almost surely, 2^{4292049898752} is an apocalyptic number.

4292049898752 is a gapful number since it is divisible by the number (42) 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 4292049898752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807712145408).

4292049898752 is an abundant number, since it is smaller than the sum of its proper divisors (11323374392064).

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

4292049898752 is a wasteful number, since it uses less digits than its factorization.

4292049898752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 4292049898752 in words is "four trillion, two hundred ninety-two billion, forty-nine million, eight hundred ninety-eight thousand, seven hundred fifty-two".