33434056440 has 96 divisors (see below), whose sum is σ = 108747269280. Its totient is φ = 8908644096.

The previous prime is 33434056427. The next prime is 33434056459. The reversal of 33434056440 is 4465043433.

33434056440 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 4 + 0 + 5 + 644 + 0 = 666.

It is a super-2 number, since 2×33434056440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33434056395 and 33434056404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423357 + ... + 496083.

It is an arithmetic number, because the mean of its divisors is an integer number (1132784055).

Almost surely, 2^33434056440 is an apocalyptic number.

33434056440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33434056440 is an abundant number, since it is smaller than the sum of its proper divisors (75313212840).

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

33434056440 is a wasteful number, since it uses less digits than its factorization.

33434056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74021 (or 74014 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 33434056440 its reverse (4465043433), we get a palindrome (37899099873).

The spelling of 33434056440 in words is "thirty-three billion, four hundred thirty-four million, fifty-six thousand, four hundred forty".