1406806668072 has 96 divisors (see below), whose sum is σ = 4344550053480. Its totient is φ = 407401021440.

The previous prime is 1406806668053. The next prime is 1406806668073. The reversal of 1406806668072 is 2708666086041.

It can be written as a sum of positive squares in 4 ways, for example, as 725280469956 + 681526198116 = 851634^2 + 825546^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1406806668073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44189929 + ... + 44221752.

Almost surely, 2^{1406806668072} is an apocalyptic number.

1406806668072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406806668072 is an abundant number, since it is smaller than the sum of its proper divisors (2937743385408).

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

1406806668072 is a wasteful number, since it uses less digits than its factorization.

1406806668072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88411723 (or 88411716 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1406806668072 in words is "one trillion, four hundred six billion, eight hundred six million, six hundred sixty-eight thousand, seventy-two".