1531332109440 has 384 divisors, whose sum is σ = 6047593643520. Its totient is φ = 349769687040.

The previous prime is 1531332109393. The next prime is 1531332109469. The reversal of 1531332109440 is 449012331351.

1531332109440 is a `hidden beast` number, since 1 + 5 + 313 + 3 + 210 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1531332109440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1531332109395 and 1531332109404.

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 47 ways as a sum of consecutive naturals, for example, 59943070 + ... + 59968610.

It is an arithmetic number, because the mean of its divisors is an integer number (15748941780).

Almost surely, 2^{1531332109440} is an apocalyptic number.

1531332109440 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 1531332109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023796821760).

1531332109440 is an abundant number, since it is smaller than the sum of its proper divisors (4516261534080).

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

1531332109440 is a wasteful number, since it uses less digits than its factorization.

1531332109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27060 (or 27045 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1531332109440 in words is "one trillion, five hundred thirty-one billion, three hundred thirty-two million, one hundred nine thousand, four hundred forty".