1406312160100 has 144 divisors (see below), whose sum is σ = 3143611296000. Its totient is φ = 545834398720.

The previous prime is 1406312160061. The next prime is 1406312160161. The reversal of 1406312160100 is 10612136041.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407743176 + ... + 407746624.

It is an arithmetic number, because the mean of its divisors is an integer number (21830634000).

Almost surely, 2^{1406312160100} is an apocalyptic number.

1406312160100 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 1406312160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571805648000).

1406312160100 is an abundant number, since it is smaller than the sum of its proper divisors (1737299135900).

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

1406312160100 is a wasteful number, since it uses less digits than its factorization.

1406312160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1406312160100 its reverse (10612136041), we get a palindrome (1416924296141).

The spelling of 1406312160100 in words is "one trillion, four hundred six billion, three hundred twelve million, one hundred sixty thousand, one hundred".