33213982140 has 144 divisors (see below), whose sum is σ = 105408995328. Its totient is φ = 8449448832.

The previous prime is 33213982103. The next prime is 33213982181. The reversal of 33213982140 is 4128931233.

33213982140 is a `hidden beast` number, since 33 + 21 + 398 + 214 + 0 = 666.

It is a super-2 number, since 2×33213982140² (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 = 33213982095 and 33213982104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575147 + ... + 1596093.

It is an arithmetic number, because the mean of its divisors is an integer number (732006912).

Almost surely, 2^33213982140 is an apocalyptic number.

33213982140 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 33213982140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704497664).

33213982140 is an abundant number, since it is smaller than the sum of its proper divisors (72195013188).

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

33213982140 is a wasteful number, since it uses less digits than its factorization.

33213982140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21368 (or 21363 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 33213982140 in words is "thirty-three billion, two hundred thirteen million, nine hundred eighty-two thousand, one hundred forty".