1531352643240 has 384 divisors, whose sum is σ = 5568825945600. Its totient is φ = 335481753600.

The previous prime is 1531352643193. The next prime is 1531352643257. The reversal of 1531352643240 is 423462531351.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23328465 + ... + 23394015.

It is an arithmetic number, because the mean of its divisors is an integer number (14502150900).

Almost surely, 2^{1531352643240} is an apocalyptic number.

1531352643240 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 1531352643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784412972800).

1531352643240 is an abundant number, since it is smaller than the sum of its proper divisors (4037473302360).

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

1531352643240 is a wasteful number, since it uses less digits than its factorization.

1531352643240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65745 (or 65734 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 1531352643240 in words is "one trillion, five hundred thirty-one billion, three hundred fifty-two million, six hundred forty-three thousand, two hundred forty".