400121164314 has 128 divisors (see below), whose sum is σ = 935667348480. Its totient is φ = 126592906752.

The previous prime is 400121164301. The next prime is 400121164321. The reversal of 400121164314 is 413461121004.

400121164314 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 2 + 1 + 1 + 643 + 14 = 666.

It is a super-2 number, since 2×400121164314² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29385772 + ... + 29399384.

It is an arithmetic number, because the mean of its divisors is an integer number (7309901160).

Almost surely, 2^400121164314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400121164314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467833674240).

400121164314 is an abundant number, since it is smaller than the sum of its proper divisors (535546184166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400121164314 is a wasteful number, since it uses less digits than its factorization.

400121164314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 400121164314 its reverse (413461121004), we get a palindrome (813582285318).

The spelling of 400121164314 in words is "four hundred billion, one hundred twenty-one million, one hundred sixty-four thousand, three hundred fourteen".