414001140100 has 36 divisors (see below), whose sum is σ = 898411443300. Its totient is φ = 165595116160.

The previous prime is 414001140043. The next prime is 414001140101. The reversal of 414001140100 is 1041100414.

It can be written as a sum of positive squares in 6 ways, for example, as 71645087556 + 342356052544 = 267666^2 + 585112^2 .

It is not an unprimeable number, because it can be changed into a prime (414001140101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4856646 + ... + 4941154.

It is an arithmetic number, because the mean of its divisors is an integer number (24955873425).

Almost surely, 2^414001140100 is an apocalyptic number.

It is an amenable number.

414001140100 is an abundant number, since it is smaller than the sum of its proper divisors (484410303200).

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

414001140100 is a wasteful number, since it uses less digits than its factorization.

414001140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133512 (or 133505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 414001140100 its reverse (1041100414), we get a palindrome (415042240514).

The spelling of 414001140100 in words is "four hundred fourteen billion, one million, one hundred forty thousand, one hundred".