1404134244100 has 108 divisors (see below), whose sum is σ = 3545003886480. Its totient is φ = 481340328000.

The previous prime is 1404134244083. The next prime is 1404134244131. The reversal of 1404134244100 is 14424314041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36490671 + ... + 36529129.

It is an arithmetic number, because the mean of its divisors is an integer number (32824110060).

Almost surely, 2^{1404134244100} is an apocalyptic number.

1404134244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404134244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772501943240).

1404134244100 is an abundant number, since it is smaller than the sum of its proper divisors (2140869642380).

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

1404134244100 is a wasteful number, since it uses less digits than its factorization.

1404134244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45938 (or 45924 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1404134244100 its reverse (14424314041), we get a palindrome (1418558558141).

The spelling of 1404134244100 in words is "one trillion, four hundred four billion, one hundred thirty-four million, two hundred forty-four thousand, one hundred".