4292245457280 has 1152 divisors, whose sum is σ = 16851356964000. Its totient is φ = 998336102400.

The previous prime is 4292245457267. The next prime is 4292245457281. The reversal of 4292245457280 is 827545422924.

4292245457280 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 24 + 545 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292245457281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9559566496 + ... + 9559566944.

Almost surely, 2^{4292245457280} is an apocalyptic number.

4292245457280 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 4292245457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425678482000).

4292245457280 is an abundant number, since it is smaller than the sum of its proper divisors (12559111506720).

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

4292245457280 is a wasteful number, since it uses less digits than its factorization.

4292245457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 4292245457280 in words is "four trillion, two hundred ninety-two billion, two hundred forty-five million, four hundred fifty-seven thousand, two hundred eighty".