1409480016384 has 160 divisors (see below), whose sum is σ = 4103428988736. Its totient is φ = 426371973120.

The previous prime is 1409480016367. The next prime is 1409480016437. The reversal of 1409480016384 is 4836100849041.

It is a super-3 number, since 3×1409480016384³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9676704 + ... + 9821280.

Almost surely, 2^{1409480016384} 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 1409480016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051714494368).

1409480016384 is an abundant number, since it is smaller than the sum of its proper divisors (2693948972352).

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

1409480016384 is a wasteful number, since it uses less digits than its factorization.

1409480016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145186 (or 145170 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 1409480016384 in words is "one trillion, four hundred nine billion, four hundred eighty million, sixteen thousand, three hundred eighty-four".