33334400440 has 64 divisors (see below), whose sum is σ = 84460216320. Its totient is φ = 11730576000.

The previous prime is 33334400419. The next prime is 33334400459. The reversal of 33334400440 is 4400443333.

It is a happy number.

It is a super-2 number, since 2×33334400440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33334400399 and 33334400408.

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, 1208296 + ... + 1235575.

It is an arithmetic number, because the mean of its divisors is an integer number (1319690880).

Almost surely, 2^33334400440 is an apocalyptic number.

It is an amenable number.

33334400440 is an abundant number, since it is smaller than the sum of its proper divisors (51125815880).

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

33334400440 is a wasteful number, since it uses less digits than its factorization.

33334400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443924 (or 2443920 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 33334400440 its reverse (4400443333), we get a palindrome (37734843773).

The spelling of 33334400440 in words is "thirty-three billion, three hundred thirty-four million, four hundred thousand, four hundred forty".