4027598640 has 240 divisors, whose sum is σ = 15106928928. Its totient is φ = 991346688.

The previous prime is 4027598621. The next prime is 4027598651. The reversal of 4027598640 is 468957204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244752 + ... + 260688.

Almost surely, 2^4027598640 is an apocalyptic number.

4027598640 is a gapful number since it is divisible by the number (40) 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 4027598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553464464).

4027598640 is an abundant number, since it is smaller than the sum of its proper divisors (11079330288).

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

4027598640 is a wasteful number, since it uses less digits than its factorization.

4027598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15978 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4027598640 is about 63463.3645499512. The cubic root of 4027598640 is about 1591.0435299960.

The spelling of 4027598640 in words is "four billion, twenty-seven million, five hundred ninety-eight thousand, six hundred forty".