4736197218240 has 336 divisors, whose sum is σ = 16540363607040. Its totient is φ = 1243633121280.

The previous prime is 4736197218211. The next prime is 4736197218271. The reversal of 4736197218240 is 428127916374.

4736197218240 is a `hidden beast` number, since 4 + 7 + 3 + 619 + 7 + 2 + 18 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939905641 + ... + 939910679.

It is an arithmetic number, because the mean of its divisors is an integer number (49227272640).

Almost surely, 2^{4736197218240} is an apocalyptic number.

4736197218240 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 4736197218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270181803520).

4736197218240 is an abundant number, since it is smaller than the sum of its proper divisors (11804166388800).

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

4736197218240 is a wasteful number, since it uses less digits than its factorization.

4736197218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4736197218240 in words is "four trillion, seven hundred thirty-six billion, one hundred ninety-seven million, two hundred eighteen thousand, two hundred forty".