400511010000153 has 192 divisors, whose sum is σ = 596634753318912. Its totient is φ = 238799798265600.

The previous prime is 400511010000151. The next prime is 400511010000169. The reversal of 400511010000153 is 351000010115004.

It is a happy number.

It is not a de Polignac number, because 400511010000153 - 2¹ = 400511010000151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400511010000151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 262975055050 + ... + 262975056572.

It is an arithmetic number, because the mean of its divisors is an integer number (3107472673536).

Almost surely, 2^{400511010000153} is an apocalyptic number.

It is an amenable number.

400511010000153 is a deficient number, since it is larger than the sum of its proper divisors (196123743318759).

400511010000153 is a wasteful number, since it uses less digits than its factorization.

400511010000153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 400511010000153 its reverse (351000010115004), we get a palindrome (751511020115157).

The spelling of 400511010000153 in words is "four hundred trillion, five hundred eleven billion, ten million, one hundred fifty-three", and thus it is an aban number.