4005052055040 has 160 divisors (see below), whose sum is σ = 12805747701120. Its totient is φ = 1067838971904.

The previous prime is 4005052054973. The next prime is 4005052055063. The reversal of 4005052055040 is 405502505004.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4005052054989 and 4005052055007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50794527 + ... + 50873313.

It is an arithmetic number, because the mean of its divisors is an integer number (80035923132).

Almost surely, 2^{4005052055040} is an apocalyptic number.

4005052055040 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 4005052055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402873850560).

4005052055040 is an abundant number, since it is smaller than the sum of its proper divisors (8800695646080).

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

4005052055040 is an equidigital number, since it uses as much as digits as its factorization.

4005052055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85432 (or 85416 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 4005052055040 in words is "four trillion, five billion, fifty-two million, fifty-five thousand, forty".