1532414098080 has 288 divisors, whose sum is σ = 5264802086544. Its totient is φ = 405879226368.

The previous prime is 1532414098063. The next prime is 1532414098081. The reversal of 1532414098080 is 808904142351.

1532414098080 is a `hidden beast` number, since 1 + 53 + 2 + 41 + 409 + 80 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 780953968656 + 751460129424 = 883716^2 + 866868^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1532414098081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318123832 + ... + 318128648.

Almost surely, 2^{1532414098080} is an apocalyptic number.

1532414098080 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 1532414098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632401043272).

1532414098080 is an abundant number, since it is smaller than the sum of its proper divisors (3732387988464).

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

1532414098080 is a wasteful number, since it uses less digits than its factorization.

1532414098080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1532414098080 in words is "one trillion, five hundred thirty-two billion, four hundred fourteen million, ninety-eight thousand, eighty".