100532424493440 has 768 divisors, whose sum is σ = 363985090560000. Its totient is φ = 25534257315840.

The previous prime is 100532424493381. The next prime is 100532424493453. The reversal of 100532424493440 is 44394424235001.

100532424493440 is a `hidden beast` number, since 1 + 0 + 0 + 532 + 4 + 2 + 4 + 49 + 34 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19411548771 + ... + 19411553949.

It is an arithmetic number, because the mean of its divisors is an integer number (473938920000).

Almost surely, 2^{100532424493440} is an apocalyptic number.

100532424493440 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 100532424493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181992545280000).

100532424493440 is an abundant number, since it is smaller than the sum of its proper divisors (263452666066560).

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

100532424493440 is a wasteful number, since it uses less digits than its factorization.

100532424493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 100532424493440 in words is "one hundred trillion, five hundred thirty-two billion, four hundred twenty-four million, four hundred ninety-three thousand, four hundred forty".