400034134400042 has 24 divisors (see below), whose sum is σ = 633304101374532. Its totient is φ = 189487140508800.

The previous prime is 400034134400039. The next prime is 400034134400051. The reversal of 400034134400042 is 240004431430004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 303647666889121 + 96386467510921 = 17425489^2 + 9817661^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400034134399978 and 400034134400014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46956692 + ... + 54817872.

Almost surely, 2^{400034134400042} is an apocalyptic number.

400034134400042 is a deficient number, since it is larger than the sum of its proper divisors (233269966974490).

400034134400042 is a wasteful number, since it uses less digits than its factorization.

400034134400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931702 (or 7931683 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 400034134400042 its reverse (240004431430004), we get a palindrome (640038565830046).

The spelling of 400034134400042 in words is "four hundred trillion, thirty-four billion, one hundred thirty-four million, four hundred thousand, forty-two".