4043101838688 has 384 divisors, whose sum is σ = 13199555335680. Its totient is φ = 1193361408000.

The previous prime is 4043101838621. The next prime is 4043101838689. The reversal of 4043101838688 is 8868381013404.

4043101838688 is a `hidden beast` number, since 40 + 43 + 101 + 8 + 386 + 88 = 666.

It is a super-2 number, since 2×4043101838688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043101838689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249766531 + ... + 249782717.

It is an arithmetic number, because the mean of its divisors is an integer number (34373842020).

Almost surely, 2^{4043101838688} is an apocalyptic number.

4043101838688 is a gapful number since it is divisible by the number (48) 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 4043101838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599777667840).

4043101838688 is an abundant number, since it is smaller than the sum of its proper divisors (9156453496992).

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

4043101838688 is a wasteful number, since it uses less digits than its factorization.

4043101838688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16899 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4043101838688 in words is "four trillion, forty-three billion, one hundred one million, eight hundred thirty-eight thousand, six hundred eighty-eight".