33140415120 has 40 divisors (see below), whose sum is σ = 102735287616. Its totient is φ = 8837443968.

The previous prime is 33140415107. The next prime is 33140415127. The reversal of 33140415120 is 2151404133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33140415120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33140415127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69042292 + ... + 69042771.

Almost surely, 2^33140415120 is an apocalyptic number.

33140415120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33140415120 is an abundant number, since it is smaller than the sum of its proper divisors (69594872496).

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

33140415120 is a wasteful number, since it uses less digits than its factorization.

33140415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138085079 (or 138085073 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 33140415120 its reverse (2151404133), we get a palindrome (35291819253).

The spelling of 33140415120 in words is "thirty-three billion, one hundred forty million, four hundred fifteen thousand, one hundred twenty".