33101434040040 has 512 divisors, whose sum is σ = 115152971673600. Its totient is φ = 8448264437760.

The previous prime is 33101434039997. The next prime is 33101434040111. The reversal of 33101434040040 is 4004043410133.

33101434040040 is a `hidden beast` number, since 3 + 310 + 1 + 4 + 340 + 4 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33101434039986 and 33101434040013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6277530844 + ... + 6277536116.

It is an arithmetic number, because the mean of its divisors is an integer number (224908147800).

Almost surely, 2^{33101434040040} is an apocalyptic number.

33101434040040 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 33101434040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576485836800).

33101434040040 is an abundant number, since it is smaller than the sum of its proper divisors (82051537633560).

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

33101434040040 is a wasteful number, since it uses less digits than its factorization.

33101434040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33101434040040 its reverse (4004043410133), we get a palindrome (37105477450173).

The spelling of 33101434040040 in words is "thirty-three trillion, one hundred one billion, four hundred thirty-four million, forty thousand, forty".