33340107764040 has 256 divisors, whose sum is σ = 124705521008640. Its totient is φ = 6927544704000.

The previous prime is 33340107763997. The next prime is 33340107764057. The reversal of 33340107764040 is 4046770104333.

It is a super-2 number, since 2×33340107764040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 33340107763983 and 33340107764001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312175450 + ... + 312282230.

It is an arithmetic number, because the mean of its divisors is an integer number (487130941440).

Almost surely, 2^{33340107764040} is an apocalyptic number.

33340107764040 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 33340107764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62352760504320).

33340107764040 is an abundant number, since it is smaller than the sum of its proper divisors (91365413244600).

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

33340107764040 is a wasteful number, since it uses less digits than its factorization.

33340107764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140604 (or 140600 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

Adding to 33340107764040 its reverse (4046770104333), we get a palindrome (37386877868373).

The spelling of 33340107764040 in words is "thirty-three trillion, three hundred forty billion, one hundred seven million, seven hundred sixty-four thousand, forty".