40003535103345 has 320 divisors, whose sum is σ = 80069230644480. Its totient is φ = 18946068480000.

The previous prime is 40003535103341. The next prime is 40003535103379. The reversal of 40003535103345 is 54330153530004.

40003535103345 is a `hidden beast` number, since 40 + 0 + 0 + 3 + 535 + 10 + 33 + 45 = 666.

40003535103345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40003535103345 - 2² = 40003535103341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40003535103341) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 13330066845 + ... + 13330069845.

It is an arithmetic number, because the mean of its divisors is an integer number (250216345764).

Almost surely, 2^{40003535103345} is an apocalyptic number.

40003535103345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40003535103345 is an abundant number, since it is smaller than the sum of its proper divisors (40065695541135).

40003535103345 is a wasteful number, since it uses less digits than its factorization.

40003535103345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 40003535103345 its reverse (54330153530004), we get a palindrome (94333688633349).

The spelling of 40003535103345 in words is "forty trillion, three billion, five hundred thirty-five million, one hundred three thousand, three hundred forty-five".