4011201000000 has 1176 divisors, whose sum is σ = 15796772173728. Its totient is φ = 1005696000000.

The previous prime is 4011200999963. The next prime is 4011201000019. The reversal of 4011201000000 is 1021104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4130999515 + ... + 4131000485.

Almost surely, 2^{4011201000000} is an apocalyptic number.

4011201000000 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 4011201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898386086864).

4011201000000 is an abundant number, since it is smaller than the sum of its proper divisors (11785571173728).

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

4011201000000 is an frugal number, since it uses more digits than its factorization.

4011201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 4011201000000 its reverse (1021104), we get a palindrome (4011202021104).

The spelling of 4011201000000 in words is "four trillion, eleven billion, two hundred one million", and thus it is an aban number.