33444112400340 has 48 divisors (see below), whose sum is σ = 93803043805632. Its totient is φ = 8903236727296.

The previous prime is 33444112400291. The next prime is 33444112400351. The reversal of 33444112400340 is 4300421144433.

It is a super-2 number, since 2×33444112400340² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474753429 + ... + 474823868.

It is an arithmetic number, because the mean of its divisors is an integer number (1954230079284).

Almost surely, 2^{33444112400340} is an apocalyptic number.

33444112400340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33444112400340 is an abundant number, since it is smaller than the sum of its proper divisors (60358931405292).

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

33444112400340 is a wasteful number, since it uses less digits than its factorization.

33444112400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949577896 (or 949577894 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 33444112400340 its reverse (4300421144433), we get a palindrome (37744533544773).

The spelling of 33444112400340 in words is "thirty-three trillion, four hundred forty-four billion, one hundred twelve million, four hundred thousand, three hundred forty".