1406633350452 has 144 divisors (see below), whose sum is σ = 3693123571200. Its totient is φ = 416249064000.

The previous prime is 1406633350433. The next prime is 1406633350481. The reversal of 1406633350452 is 2540533366041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12881499 + ... + 12990237.

Almost surely, 2^{1406633350452} is an apocalyptic number.

1406633350452 is a gapful number since it is divisible by the number (12) 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 1406633350452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846561785600).

1406633350452 is an abundant number, since it is smaller than the sum of its proper divisors (2286490220748).

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

1406633350452 is a wasteful number, since it uses less digits than its factorization.

1406633350452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108978 (or 108965 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 1406633350452 in words is "one trillion, four hundred six billion, six hundred thirty-three million, three hundred fifty thousand, four hundred fifty-two".