4057865212128 has 384 divisors, whose sum is σ = 13296303820800. Its totient is φ = 1055041708032.

The previous prime is 4057865212099. The next prime is 4057865212223. The reversal of 4057865212128 is 8212125687504.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489307950 + ... + 489316242.

It is an arithmetic number, because the mean of its divisors is an integer number (34625791200).

Almost surely, 2^{4057865212128} is an apocalyptic number.

4057865212128 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 4057865212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648151910400).

4057865212128 is an abundant number, since it is smaller than the sum of its proper divisors (9238438608672).

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

4057865212128 is a wasteful number, since it uses less digits than its factorization.

4057865212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9114 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 4057865212128 in words is "four trillion, fifty-seven billion, eight hundred sixty-five million, two hundred twelve thousand, one hundred twenty-eight".