1406167048672 has 72 divisors (see below), whose sum is σ = 2836694873376. Its totient is φ = 686114394624.

The previous prime is 1406167048667. The next prime is 1406167048681. The reversal of 1406167048672 is 2768407616041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15214633 + ... + 15306775.

It is an arithmetic number, because the mean of its divisors is an integer number (39398539908).

Almost surely, 2^{1406167048672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406167048672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418347436688).

1406167048672 is an abundant number, since it is smaller than the sum of its proper divisors (1430527824704).

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

1406167048672 is an equidigital number, since it uses as much as digits as its factorization.

1406167048672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92408 (or 92341 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 1406167048672 in words is "one trillion, four hundred six billion, one hundred sixty-seven million, forty-eight thousand, six hundred seventy-two".