4298719057920 has 1536 divisors, whose sum is σ = 18091193702400. Its totient is φ = 947743358976.

The previous prime is 4298719057903. The next prime is 4298719057967. The reversal of 4298719057920 is 297509178924.

4298719057920 is a `hidden beast` number, since 4 + 29 + 8 + 7 + 19 + 0 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×4298719057920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 12388239187 + ... + 12388239533.

It is an arithmetic number, because the mean of its divisors is an integer number (11778120900).

Almost surely, 2^{4298719057920} is an apocalyptic number.

4298719057920 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 4298719057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045596851200).

4298719057920 is an abundant number, since it is smaller than the sum of its proper divisors (13792474644480).

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

4298719057920 is a wasteful number, since it uses less digits than its factorization.

4298719057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 4298719057920 in words is "four trillion, two hundred ninety-eight billion, seven hundred nineteen million, fifty-seven thousand, nine hundred twenty".