4192097280 has 352 divisors, whose sum is σ = 15494578176. Its totient is φ = 947552256.

The previous prime is 4192097257. The next prime is 4192097297. The reversal of 4192097280 is 827902914.

It is a super-3 number, since 3×4192097280³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13654887 + ... + 13655193.

It is an arithmetic number, because the mean of its divisors is an integer number (44018688).

Almost surely, 2^4192097280 is an apocalyptic number.

4192097280 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 4192097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747289088).

4192097280 is an abundant number, since it is smaller than the sum of its proper divisors (11302480896).

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

4192097280 is a wasteful number, since it uses less digits than its factorization.

4192097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4192097280 is about 64746.4074679051. The cubic root of 4192097280 is about 1612.4160682232.

The spelling of 4192097280 in words is "four billion, one hundred ninety-two million, ninety-seven thousand, two hundred eighty".