1406635345216 has 56 divisors (see below), whose sum is σ = 2823930501480. Its totient is φ = 695126016000.

The previous prime is 1406635345189. The next prime is 1406635345231. The reversal of 1406635345216 is 6125435366041.

It can be written as a sum of positive squares in 4 ways, for example, as 1127640105216 + 278995240000 = 1061904^2 + 528200^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2545956 + ... + 3048796.

Almost surely, 2^{1406635345216} is an apocalyptic number.

1406635345216 is a gapful number since it is divisible by the number (16) 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 1406635345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411965250740).

1406635345216 is an abundant number, since it is smaller than the sum of its proper divisors (1417295156264).

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

1406635345216 is a wasteful number, since it uses less digits than its factorization.

1406635345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503363 (or 503353 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 1406635345216 in words is "one trillion, four hundred six billion, six hundred thirty-five million, three hundred forty-five thousand, two hundred sixteen".