1406827746324 has 1152 divisors, whose sum is σ = 5260050432000. Its totient is φ = 304962278400.

The previous prime is 1406827746217. The next prime is 1406827746347. The reversal of 1406827746324 is 4236477286041.

1406827746324 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 8 + 277 + 46 + 324 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1676790697 + ... + 1676791535.

It is an arithmetic number, because the mean of its divisors is an integer number (4566016000).

Almost surely, 2^{1406827746324} is an apocalyptic number.

1406827746324 is a gapful number since it is divisible by the number (14) 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 1406827746324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630025216000).

1406827746324 is an abundant number, since it is smaller than the sum of its proper divisors (3853222685676).

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

1406827746324 is a wasteful number, since it uses less digits than its factorization.

1406827746324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 1406827746324 in words is "one trillion, four hundred six billion, eight hundred twenty-seven million, seven hundred forty-six thousand, three hundred twenty-four".