4033034201040 has 320 divisors, whose sum is σ = 13766214905856. Its totient is φ = 970521348096.

The previous prime is 4033034201033. The next prime is 4033034201057. The reversal of 4033034201040 is 401024303304.

It is a super-2 number, since 2×4033034201040² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4033034201040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132987319 + ... + 133017641.

Almost surely, 2^{4033034201040} is an apocalyptic number.

4033034201040 is a gapful number since it is divisible by the number (40) 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 4033034201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883107452928).

4033034201040 is an abundant number, since it is smaller than the sum of its proper divisors (9733180704816).

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

4033034201040 is a wasteful number, since it uses less digits than its factorization.

4033034201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306 (or 31300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4033034201040 its reverse (401024303304), we get a palindrome (4434058504344).

The spelling of 4033034201040 in words is "four trillion, thirty-three billion, thirty-four million, two hundred one thousand, forty".