1531998642240 has 1344 divisors, whose sum is σ = 6113025884160. Its totient is φ = 348751872000.

The previous prime is 1531998642203. The next prime is 1531998642241. The reversal of 1531998642240 is 422468991351.

It is a happy number.

1531998642240 is a `hidden beast` number, since 1 + 5 + 319 + 9 + 86 + 4 + 2 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (1531998642241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6410036041 + ... + 6410036279.

Almost surely, 2^{1531998642240} is an apocalyptic number.

1531998642240 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 1531998642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056512942080).

1531998642240 is an abundant number, since it is smaller than the sum of its proper divisors (4581027241920).

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

1531998642240 is a wasteful number, since it uses less digits than its factorization.

1531998642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1531998642240 in words is "one trillion, five hundred thirty-one billion, nine hundred ninety-eight million, six hundred forty-two thousand, two hundred forty".