40373133137304 has 256 divisors, whose sum is σ = 112314352550400. Its totient is φ = 11992308940800.

The previous prime is 40373133137303. The next prime is 40373133137399.

40373133137304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40373133137303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005211927 + ... + 1005252089.

It is an arithmetic number, because the mean of its divisors is an integer number (438727939650).

Almost surely, 2^{40373133137304} is an apocalyptic number.

40373133137304 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 40373133137304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56157176275200).

40373133137304 is an abundant number, since it is smaller than the sum of its proper divisors (71941219413096).

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

40373133137304 is a wasteful number, since it uses less digits than its factorization.

40373133137304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40666 (or 40662 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 42.

The spelling of 40373133137304 in words is "forty trillion, three hundred seventy-three billion, one hundred thirty-three million, one hundred thirty-seven thousand, three hundred four".