4027018620240 has 480 divisors, whose sum is σ = 16901518233600. Its totient is φ = 834781178880.

The previous prime is 4027018620221. The next prime is 4027018620259. The reversal of 4027018620240 is 420268107204.

4027018620240 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 0 + 1 + 8 + 620 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4027018620221) and next prime (4027018620259).

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

It is a junction number, because it is equal to n+sod(n) for n = 4027018620195 and 4027018620204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23142681 + ... + 23316039.

It is an arithmetic number, because the mean of its divisors is an integer number (35211496320).

Almost surely, 2^{4027018620240} is an apocalyptic number.

4027018620240 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 4027018620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450759116800).

4027018620240 is an abundant number, since it is smaller than the sum of its proper divisors (12874499613360).

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

4027018620240 is a wasteful number, since it uses less digits than its factorization.

4027018620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173815 (or 173806 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 4027018620240 in words is "four trillion, twenty-seven billion, eighteen million, six hundred twenty thousand, two hundred forty".