400145235345 has 48 divisors (see below), whose sum is σ = 700231268880. Its totient is φ = 211367397888.

The previous prime is 400145235341. The next prime is 400145235359. The reversal of 400145235345 is 543532541004.

400145235345 is a `hidden beast` number, since 40 + 0 + 1 + 4 + 523 + 53 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1205200656 + 398940034689 = 34716^2 + 631617^2 .

It is not a de Polignac number, because 400145235345 - 2² = 400145235341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400145235341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13194019 + ... + 13224311.

It is an arithmetic number, because the mean of its divisors is an integer number (14588151435).

Almost surely, 2^400145235345 is an apocalyptic number.

400145235345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400145235345 is a deficient number, since it is larger than the sum of its proper divisors (300086033535).

400145235345 is a wasteful number, since it uses less digits than its factorization.

400145235345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33106 (or 33103 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 400145235345 its reverse (543532541004), we get a palindrome (943677776349).

The spelling of 400145235345 in words is "four hundred billion, one hundred forty-five million, two hundred thirty-five thousand, three hundred forty-five".