4027035425952 has 1152 divisors, whose sum is σ = 14182898688000. Its totient is φ = 998303201280.

The previous prime is 4027035425951. The next prime is 4027035425953. The reversal of 4027035425952 is 2595245307204.

It is an interprime number because it is at equal distance from previous prime (4027035425951) and next prime (4027035425953).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4027035425951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8697700473 + ... + 8697700935.

It is an arithmetic number, because the mean of its divisors is an integer number (12311544000).

Almost surely, 2^{4027035425952} is an apocalyptic number.

4027035425952 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 4027035425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091449344000).

4027035425952 is an abundant number, since it is smaller than the sum of its proper divisors (10155863262048).

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

4027035425952 is a wasteful number, since it uses less digits than its factorization.

4027035425952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 4027035425952 in words is "four trillion, twenty-seven billion, thirty-five million, four hundred twenty-five thousand, nine hundred fifty-two".