400102414311 has 16 divisors (see below), whose sum is σ = 547100386560. Its totient is φ = 259934431680.

The previous prime is 400102414301. The next prime is 400102414319. The reversal of 400102414311 is 113414201004.

It is not a de Polignac number, because 400102414311 - 2²¹ = 400100317159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400102414319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1733331 + ... + 1950548.

It is an arithmetic number, because the mean of its divisors is an integer number (34193774160).

Almost surely, 2^400102414311 is an apocalyptic number.

400102414311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

400102414311 is a deficient number, since it is larger than the sum of its proper divisors (146997972249).

400102414311 is a wasteful number, since it uses less digits than its factorization.

400102414311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684806.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 400102414311 its reverse (113414201004), we get a palindrome (513516615315).

The spelling of 400102414311 in words is "four hundred billion, one hundred two million, four hundred fourteen thousand, three hundred eleven".