1406122217304 has 128 divisors (see below), whose sum is σ = 4050261895680. Its totient is φ = 398475417600.

The previous prime is 1406122217287. The next prime is 1406122217323. The reversal of 1406122217304 is 4037122216041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45166864 + ... + 45197984.

It is an arithmetic number, because the mean of its divisors is an integer number (31642671060).

Almost surely, 2^{1406122217304} is an apocalyptic number.

1406122217304 is a gapful number since it is divisible by the number (14) 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 1406122217304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025130947840).

1406122217304 is an abundant number, since it is smaller than the sum of its proper divisors (2644139678376).

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

1406122217304 is a wasteful number, since it uses less digits than its factorization.

1406122217304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33321 (or 33317 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1406122217304 in words is "one trillion, four hundred six billion, one hundred twenty-two million, two hundred seventeen thousand, three hundred four".