4187813865840 has 480 divisors, whose sum is σ = 15422822019072. Its totient is φ = 1009935360000.

The previous prime is 4187813865839. The next prime is 4187813865857. The reversal of 4187813865840 is 485683187814.

It is a happy number.

4187813865840 is a `hidden beast` number, since 4 + 18 + 7 + 8 + 1 + 38 + 6 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1495112440 + ... + 1495115240.

Almost surely, 2^{4187813865840} is an apocalyptic number.

4187813865840 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 4187813865840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711411009536).

4187813865840 is an abundant number, since it is smaller than the sum of its proper divisors (11235008153232).

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

4187813865840 is a wasteful number, since it uses less digits than its factorization.

4187813865840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 4187813865840 in words is "four trillion, one hundred eighty-seven billion, eight hundred thirteen million, eight hundred sixty-five thousand, eight hundred forty".