1532643450240 has 384 divisors, whose sum is σ = 5694464160000. Its totient is φ = 349605752832.

The previous prime is 1532643450209. The next prime is 1532643450287. The reversal of 1532643450240 is 420543462351.

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

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, 46929597 + ... + 46962243.

It is an arithmetic number, because the mean of its divisors is an integer number (14829333750).

Almost surely, 2^{1532643450240} is an apocalyptic number.

1532643450240 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 1532643450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847232080000).

1532643450240 is an abundant number, since it is smaller than the sum of its proper divisors (4161820709760).

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

1532643450240 is a wasteful number, since it uses less digits than its factorization.

1532643450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33182 (or 33163 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 1532643450240 in words is "one trillion, five hundred thirty-two billion, six hundred forty-three million, four hundred fifty thousand, two hundred forty".