1406384514960 has 160 divisors (see below), whose sum is σ = 4621017485952. Its totient is φ = 352610426880.

The previous prime is 1406384514959. The next prime is 1406384514967. The reversal of 1406384514960 is 694154836041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1406384514967) 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 31 ways as a sum of consecutive naturals, for example, 3784182 + ... + 4139178.

Almost surely, 2^{1406384514960} is an apocalyptic number.

1406384514960 is a gapful number since it is divisible by the number (10) 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 1406384514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310508742976).

1406384514960 is an abundant number, since it is smaller than the sum of its proper divisors (3214632970992).

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

1406384514960 is a wasteful number, since it uses less digits than its factorization.

1406384514960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356001 (or 355995 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1406384514960 in words is "one trillion, four hundred six billion, three hundred eighty-four million, five hundred fourteen thousand, nine hundred sixty".