40363411436304 has 320 divisors, whose sum is σ = 118708810149888. Its totient is φ = 11709615052800.

The previous prime is 40363411436269. The next prime is 40363411436321.

40363411436304 is nontrivially palindromic in base 10.

40363411436304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697660242 + ... + 697718094.

Almost surely, 2^{40363411436304} is an apocalyptic number.

40363411436304 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 40363411436304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59354405074944).

40363411436304 is an abundant number, since it is smaller than the sum of its proper divisors (78345398713584).

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

40363411436304 is a wasteful number, since it uses less digits than its factorization.

40363411436304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58486 (or 58480 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 40363411436304 in words is "forty trillion, three hundred sixty-three billion, four hundred eleven million, four hundred thirty-six thousand, three hundred four".