4027815493632 has 544 divisors, whose sum is σ = 13688761640960. Its totient is φ = 1146617856000.

The previous prime is 4027815493631. The next prime is 4027815493633. The reversal of 4027815493632 is 2363945187204.

4027815493632 is a `hidden beast` number, since 4 + 0 + 278 + 1 + 5 + 4 + 9 + 363 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4027815493631) and next prime (4027815493633).

It is a super-3 number, since 3×4027815493632³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4027815493631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5363269257 + ... + 5363270007.

It is a 1-persistent number, because it is pandigital, but 2⋅4027815493632 = 8055630987264 is not.

Almost surely, 2^{4027815493632} is an apocalyptic number.

4027815493632 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 4027815493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844380820480).

4027815493632 is an abundant number, since it is smaller than the sum of its proper divisors (9660946147328).

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

4027815493632 is an frugal number, since it uses more digits than its factorization.

4027815493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4027815493632 in words is "four trillion, twenty-seven billion, eight hundred fifteen million, four hundred ninety-three thousand, six hundred thirty-two".