40240154400345 has 48 divisors (see below), whose sum is σ = 70407287048592. Its totient is φ = 21259268997120.

The previous prime is 40240154400331. The next prime is 40240154400409. The reversal of 40240154400345 is 54300445104204.

40240154400345 is a `hidden beast` number, since 4 + 0 + 240 + 1 + 5 + 4 + 400 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33761027059776 + 6479127340569 = 5810424^2 + 2545413^2 .

It is not a de Polignac number, because 40240154400345 - 2²¹ = 40240152303193 is a prime.

It is a super-5 number, since 5×40240154400345⁵ (a number of 69 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6580297 + ... + 11125673.

It is an arithmetic number, because the mean of its divisors is an integer number (1466818480179).

Almost surely, 2^{40240154400345} is an apocalyptic number.

40240154400345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40240154400345 is a deficient number, since it is larger than the sum of its proper divisors (30167132648247).

40240154400345 is a wasteful number, since it uses less digits than its factorization.

40240154400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547242 (or 4547239 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 40240154400345 its reverse (54300445104204), we get a palindrome (94540599504549).

The spelling of 40240154400345 in words is "forty trillion, two hundred forty billion, one hundred fifty-four million, four hundred thousand, three hundred forty-five".