33991951440 has 160 divisors (see below), whose sum is σ = 106007786496. Its totient is φ = 9010298880.

The previous prime is 33991951439. The next prime is 33991951481. The reversal of 33991951440 is 4415919933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33991951440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51424710 + ... + 51425370.

Almost surely, 2^33991951440 is an apocalyptic number.

33991951440 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 33991951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53003893248).

33991951440 is an abundant number, since it is smaller than the sum of its proper divisors (72015835056).

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

33991951440 is a wasteful number, since it uses less digits than its factorization.

33991951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 33991951440 in words is "thirty-three billion, nine hundred ninety-one million, nine hundred fifty-one thousand, four hundred forty".