4072057986752 has 224 divisors, whose sum is σ = 10151595648000. Its totient is φ = 1580177313792.

The previous prime is 4072057986713. The next prime is 4072057986791. The reversal of 4072057986752 is 2576897502704.

It is an interprime number because it is at equal distance from previous prime (4072057986713) and next prime (4072057986791).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268792874 + ... + 268808022.

Almost surely, 2^{4072057986752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072057986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075797824000).

4072057986752 is an abundant number, since it is smaller than the sum of its proper divisors (6079537661248).

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

4072057986752 is a wasteful number, since it uses less digits than its factorization.

4072057986752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16583 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 62.

The spelling of 4072057986752 in words is "four trillion, seventy-two billion, fifty-seven million, nine hundred eighty-six thousand, seven hundred fifty-two".