33419981640 has 128 divisors (see below), whose sum is σ = 108226886400. Its totient is φ = 8230548480.

The previous prime is 33419981603. The next prime is 33419981677. The reversal of 33419981640 is 4618991433.

It is an interprime number because it is at equal distance from previous prime (33419981603) and next prime (33419981677).

It is a super-2 number, since 2×33419981640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33419981640.

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, 128731 + ... + 288810.

It is an arithmetic number, because the mean of its divisors is an integer number (845522550).

Almost surely, 2^33419981640 is an apocalyptic number.

33419981640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33419981640 is an abundant number, since it is smaller than the sum of its proper divisors (74806904760).

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

33419981640 is a wasteful number, since it uses less digits than its factorization.

33419981640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417607 (or 417603 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 33419981640 in words is "thirty-three billion, four hundred nineteen million, nine hundred eighty-one thousand, six hundred forty".