1531990963440 has 240 divisors, whose sum is σ = 5881599142848. Its totient is φ = 350069796864.

The previous prime is 1531990963427. The next prime is 1531990963567. The reversal of 1531990963440 is 443690991351.

It is a happy number.

1531990963440 is a `hidden beast` number, since 1 + 5 + 3 + 199 + 0 + 9 + 6 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18470542 + ... + 18553298.

Almost surely, 2^{1531990963440} is an apocalyptic number.

1531990963440 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 1531990963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940799571424).

1531990963440 is an abundant number, since it is smaller than the sum of its proper divisors (4349608179408).

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

1531990963440 is a wasteful number, since it uses less digits than its factorization.

1531990963440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86456 (or 86447 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 1531990963440 in words is "one trillion, five hundred thirty-one billion, nine hundred ninety million, nine hundred sixty-three thousand, four hundred forty".