4083114147840 has 3072 divisors, whose sum is σ = 19236462336000. Its totient is φ = 824036032512.

The previous prime is 4083114147823. The next prime is 4083114147883. The reversal of 4083114147840 is 487414113804.

4083114147840 is a `hidden beast` number, since 4 + 0 + 8 + 31 + 141 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×4083114147840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177526702069 + ... + 177526702091.

It is an arithmetic number, because the mean of its divisors is an integer number (6261869250).

Almost surely, 2^{4083114147840} is an apocalyptic number.

4083114147840 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 4083114147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618231168000).

4083114147840 is an abundant number, since it is smaller than the sum of its proper divisors (15153348188160).

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

4083114147840 is an frugal number, since it uses more digits than its factorization.

4083114147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 4083114147840 in words is "four trillion, eighty-three billion, one hundred fourteen million, one hundred forty-seven thousand, eight hundred forty".