33416122440 has 64 divisors (see below), whose sum is σ = 100309248000. Its totient is φ = 8905554432.

The previous prime is 33416122357. The next prime is 33416122477. The reversal of 33416122440 is 4422161433.

It is a super-2 number, since 2×33416122440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33416122398 and 33416122407.

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, 115836 + ... + 283284.

It is an arithmetic number, because the mean of its divisors is an integer number (1567332000).

Almost surely, 2^33416122440 is an apocalyptic number.

33416122440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33416122440 is an abundant number, since it is smaller than the sum of its proper divisors (66893125560).

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

33416122440 is a wasteful number, since it uses less digits than its factorization.

33416122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169126 (or 169122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 33416122440 its reverse (4422161433), we get a palindrome (37838283873).

The spelling of 33416122440 in words is "thirty-three billion, four hundred sixteen million, one hundred twenty-two thousand, four hundred forty".