33221283840 has 416 divisors, whose sum is σ = 119869059840. Its totient is φ = 8727035904.

The previous prime is 33221283833. The next prime is 33221283863. The reversal of 33221283840 is 4838212233.

33221283840 is a `hidden beast` number, since 33 + 221 + 28 + 384 + 0 = 666.

It is a super-2 number, since 2×33221283840² (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 = 33221283795 and 33221283804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40365669 + ... + 40366491.

Almost surely, 2^33221283840 is an apocalyptic number.

33221283840 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 33221283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59934529920).

33221283840 is an abundant number, since it is smaller than the sum of its proper divisors (86647776000).

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

33221283840 is an equidigital number, since it uses as much as digits as its factorization.

33221283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 33221283840 in words is "thirty-three billion, two hundred twenty-one million, two hundred eighty-three thousand, eight hundred forty".