4238777986560 has 1280 divisors, whose sum is σ = 17620872192000. Its totient is φ = 956470394880.

The previous prime is 4238777986549. The next prime is 4238777986609. The reversal of 4238777986560 is 656897778324.

4238777986560 is a `hidden beast` number, since 42 + 387 + 7 + 7 + 98 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 529247836 + ... + 529255844.

It is an arithmetic number, because the mean of its divisors is an integer number (13766306400).

Almost surely, 2^{4238777986560} is an apocalyptic number.

4238777986560 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 4238777986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810436096000).

4238777986560 is an abundant number, since it is smaller than the sum of its proper divisors (13382094205440).

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

4238777986560 is a wasteful number, since it uses less digits than its factorization.

4238777986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 4238777986560 in words is "four trillion, two hundred thirty-eight billion, seven hundred seventy-seven million, nine hundred eighty-six thousand, five hundred sixty".