4020958830240 has 336 divisors, whose sum is σ = 15537558498336. Its totient is φ = 974777587200.

The previous prime is 4020958830209. The next prime is 4020958830247. The reversal of 4020958830240 is 420388590204.

4020958830240 is a `hidden beast` number, since 4 + 0 + 20 + 9 + 588 + 3 + 0 + 2 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4020958830247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 283926 + ... + 2850005.

It is an arithmetic number, because the mean of its divisors is an integer number (46242733626).

Almost surely, 2^{4020958830240} is an apocalyptic number.

4020958830240 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 4020958830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768779249168).

4020958830240 is an abundant number, since it is smaller than the sum of its proper divisors (11516599668096).

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

4020958830240 is a wasteful number, since it uses less digits than its factorization.

4020958830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133975 (or 3133952 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4020958830240 in words is "four trillion, twenty billion, nine hundred fifty-eight million, eight hundred thirty thousand, two hundred forty".