4020335041440 has 192 divisors, whose sum is σ = 12793813546752. Its totient is φ = 1061111808000.

The previous prime is 4020335041421. The next prime is 4020335041441. The reversal of 4020335041440 is 441405330204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4020335041398 and 4020335041407.

It is not an unprimeable number, because it can be changed into a prime (4020335041441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160601725 + ... + 160626755.

It is an arithmetic number, because the mean of its divisors is an integer number (66634445556).

Almost surely, 2^{4020335041440} is an apocalyptic number.

4020335041440 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 4020335041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396906773376).

4020335041440 is an abundant number, since it is smaller than the sum of its proper divisors (8773478505312).

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

4020335041440 is a wasteful number, since it uses less digits than its factorization.

4020335041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28463 (or 28455 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 4020335041440 in words is "four trillion, twenty billion, three hundred thirty-five million, forty-one thousand, four hundred forty".