4292981320320 has 3072 divisors, whose sum is σ = 21519800064000. Its totient is φ = 794829127680.

The previous prime is 4292981320289. The next prime is 4292981320321. The reversal of 4292981320320 is 230231892924.

4292981320320 is a `hidden beast` number, since 4 + 2 + 9 + 298 + 1 + 32 + 0 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4292981320321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3008395447 + ... + 3008396873.

It is an arithmetic number, because the mean of its divisors is an integer number (7005143250).

Almost surely, 2^{4292981320320} is an apocalyptic number.

4292981320320 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 4292981320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759900032000).

4292981320320 is an abundant number, since it is smaller than the sum of its proper divisors (17226818743680).

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

4292981320320 is a wasteful number, since it uses less digits than its factorization.

4292981320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4292981320320 in words is "four trillion, two hundred ninety-two billion, nine hundred eighty-one million, three hundred twenty thousand, three hundred twenty".