4038126027012 has 576 divisors, whose sum is σ = 13045294080000. Its totient is φ = 1031535648000.

The previous prime is 4038126026863. The next prime is 4038126027037. The reversal of 4038126027012 is 2107206218304.

It is a happy number.

4038126027012 is a `hidden beast` number, since 4 + 0 + 38 + 1 + 2 + 602 + 7 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6741445489 + ... + 6741446087.

It is an arithmetic number, because the mean of its divisors is an integer number (22648080000).

Almost surely, 2^{4038126027012} is an apocalyptic number.

4038126027012 is a gapful number since it is divisible by the number (42) 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 4038126027012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522647040000).

4038126027012 is an abundant number, since it is smaller than the sum of its proper divisors (9007168052988).

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

4038126027012 is a wasteful number, since it uses less digits than its factorization.

4038126027012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4038126027012 in words is "four trillion, thirty-eight billion, one hundred twenty-six million, twenty-seven thousand, twelve".