4292845240320 has 2432 divisors, whose sum is σ = 19842711060480. Its totient is φ = 856141332480.

The previous prime is 4292845240309. The next prime is 4292845240337. The reversal of 4292845240320 is 230425482924.

4292845240320 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 84 + 5 + 240 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 99833610219 + ... + 99833610261.

Almost surely, 2^{4292845240320} is an apocalyptic number.

4292845240320 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 4292845240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921355530240).

4292845240320 is an abundant number, since it is smaller than the sum of its proper divisors (15549865820160).

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

4292845240320 is an equidigital number, since it uses as much as digits as its factorization.

4292845240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4292845240320 in words is "four trillion, two hundred ninety-two billion, eight hundred forty-five million, two hundred forty thousand, three hundred twenty".