33401001120 has 192 divisors, whose sum is σ = 112756250880. Its totient is φ = 8289312768.

The previous prime is 33401001103. The next prime is 33401001149. The reversal of 33401001120 is 2110010433.

It is a super-2 number, since 2×33401001120² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33401001120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367596 + ... + 449364.

It is an arithmetic number, because the mean of its divisors is an integer number (587272140).

Almost surely, 2^33401001120 is an apocalyptic number.

33401001120 is a gapful number since it is divisible by the number (30) 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 33401001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56378125440).

33401001120 is an abundant number, since it is smaller than the sum of its proper divisors (79355249760).

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

33401001120 is a wasteful number, since it uses less digits than its factorization.

33401001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81847 (or 81839 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33401001120 its reverse (2110010433), we get a palindrome (35511011553).

The spelling of 33401001120 in words is "thirty-three billion, four hundred one million, one thousand, one hundred twenty".