1406452416564 has 192 divisors, whose sum is σ = 3911288242176. Its totient is φ = 388937742336.

The previous prime is 1406452416533. The next prime is 1406452416599. The reversal of 1406452416564 is 4656142546041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37005579 + ... + 37043565.

It is an arithmetic number, because the mean of its divisors is an integer number (20371292928).

Almost surely, 2^{1406452416564} 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 1406452416564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955644121088).

1406452416564 is an abundant number, since it is smaller than the sum of its proper divisors (2504835825612).

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

1406452416564 is a wasteful number, since it uses less digits than its factorization.

1406452416564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38654 (or 38652 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 1406452416564 in words is "one trillion, four hundred six billion, four hundred fifty-two million, four hundred sixteen thousand, five hundred sixty-four".