40533344333504 has 224 divisors, whose sum is σ = 91819898818560. Its totient is φ = 17573338956800.

The previous prime is 40533344333479. The next prime is 40533344333543.

40533344333504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 12024128939 + ... + 12024132309.

Almost surely, 2^{40533344333504} is an apocalyptic number.

40533344333504 is a gapful number since it is divisible by the number (44) 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 40533344333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45909949409280).

40533344333504 is an abundant number, since it is smaller than the sum of its proper divisors (51286554485056).

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

40533344333504 is a wasteful number, since it uses less digits than its factorization.

40533344333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 44.

It can be divided in two parts, 4053334 and 4333504, that added together give a palindrome (8386838).

The spelling of 40533344333504 in words is "forty trillion, five hundred thirty-three billion, three hundred forty-four million, three hundred thirty-three thousand, five hundred four".