1406124934368 has 576 divisors, whose sum is σ = 4750588942848. Its totient is φ = 360069857280.

The previous prime is 1406124934363. The next prime is 1406124934391. The reversal of 1406124934368 is 8634394216041.

It is a self number, because there is not a number n which added to its sum of digits gives 1406124934368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406124934363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2173299421 + ... + 2173300067.

It is an arithmetic number, because the mean of its divisors is an integer number (8247550248).

Almost surely, 2^{1406124934368} 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 1406124934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375294471424).

1406124934368 is an abundant number, since it is smaller than the sum of its proper divisors (3344464008480).

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

1406124934368 is a wasteful number, since it uses less digits than its factorization.

1406124934368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 1406124934368 in words is "one trillion, four hundred six billion, one hundred twenty-four million, nine hundred thirty-four thousand, three hundred sixty-eight".