4011020052000 has 768 divisors, whose sum is σ = 15041266845696. Its totient is φ = 925655040000.

The previous prime is 4011020051989. The next prime is 4011020052023. The reversal of 4011020052000 is 2500201104.

4011020052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 718689210 + ... + 718694790.

It is an arithmetic number, because the mean of its divisors is an integer number (19584982872).

Almost surely, 2^{4011020052000} is an apocalyptic number.

4011020052000 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 4011020052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520633422848).

4011020052000 is an abundant number, since it is smaller than the sum of its proper divisors (11030246793696).

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

4011020052000 is a wasteful number, since it uses less digits than its factorization.

4011020052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 4011020052000 its reverse (2500201104), we get a palindrome (4013520253104).

The spelling of 4011020052000 in words is "four trillion, eleven billion, twenty million, fifty-two thousand".