4020041144000 has 672 divisors, whose sum is σ = 11912500716480. Its totient is φ = 1339140096000.

The previous prime is 4020041143969. The next prime is 4020041144027. The reversal of 4020041144000 is 4411400204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6252007679 + ... + 6252008321.

It is an arithmetic number, because the mean of its divisors is an integer number (17726935590).

Almost surely, 2^{4020041144000} is an apocalyptic number.

4020041144000 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 4020041144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956250358240).

4020041144000 is an abundant number, since it is smaller than the sum of its proper divisors (7892459572480).

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

4020041144000 is a wasteful number, since it uses less digits than its factorization.

4020041144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4020041144000 its reverse (4411400204), we get a palindrome (4024452544204).

The spelling of 4020041144000 in words is "four trillion, twenty billion, forty-one million, one hundred forty-four thousand".