400144140152145 has 96 divisors (see below), whose sum is σ = 745386635560320. Its totient is φ = 197867876751360.

The previous prime is 400144140152101. The next prime is 400144140152177. The reversal of 400144140152145 is 541251041441004.

400144140152145 is a `hidden beast` number, since 4 + 0 + 0 + 14 + 41 + 40 + 1 + 521 + 45 = 666.

It is not a de Polignac number, because 400144140152145 - 2¹³ = 400144140143953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997155 + ... + 28306935.

It is an arithmetic number, because the mean of its divisors is an integer number (7764444120420).

Almost surely, 2^{400144140152145} is an apocalyptic number.

400144140152145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400144140152145 is a deficient number, since it is larger than the sum of its proper divisors (345242495408175).

400144140152145 is a wasteful number, since it uses less digits than its factorization.

400144140152145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27310095 (or 27310092 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 400144140152145 its reverse (541251041441004), we get a palindrome (941395181593149).

The spelling of 400144140152145 in words is "four hundred trillion, one hundred forty-four billion, one hundred forty million, one hundred fifty-two thousand, one hundred forty-five".