40400351253 has 48 divisors (see below), whose sum is σ = 61419945600. Its totient is φ = 25540428672.

The previous prime is 40400351231. The next prime is 40400351297. The reversal of 40400351253 is 35215300404.

40400351253 is a `hidden beast` number, since 4 + 0 + 400 + 3 + 5 + 1 + 253 = 666.

It is not a de Polignac number, because 40400351253 - 2⁹ = 40400350741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400351203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22607026 + ... + 22608812.

It is an arithmetic number, because the mean of its divisors is an integer number (1279582200).

Almost surely, 2^40400351253 is an apocalyptic number.

It is an amenable number.

40400351253 is a deficient number, since it is larger than the sum of its proper divisors (21019594347).

40400351253 is a wasteful number, since it uses less digits than its factorization.

40400351253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40400351253 its reverse (35215300404), we get a palindrome (75615651657).

The spelling of 40400351253 in words is "forty billion, four hundred million, three hundred fifty-one thousand, two hundred fifty-three".