33442401120 has 192 divisors, whose sum is σ = 112606308864. Its totient is φ = 8322068480.

The previous prime is 33442401119. The next prime is 33442401149. The reversal of 33442401120 is 2110424433.

It is a super-2 number, since 2×33442401120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 415699 + ... + 489581.

It is an arithmetic number, because the mean of its divisors is an integer number (586491192).

Almost surely, 2^33442401120 is an apocalyptic number.

33442401120 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 33442401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56303154432).

33442401120 is an abundant number, since it is smaller than the sum of its proper divisors (79163907744).

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

33442401120 is a wasteful number, since it uses less digits than its factorization.

33442401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73965 (or 73957 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 33442401120 its reverse (2110424433), we get a palindrome (35552825553).

The spelling of 33442401120 in words is "thirty-three billion, four hundred forty-two million, four hundred one thousand, one hundred twenty".