100448000640 has 1024 divisors, whose sum is σ = 420106176000. Its totient is φ = 22443982848.

The previous prime is 100448000633. The next prime is 100448000677. The reversal of 100448000640 is 46000844001.

100448000640 is a `hidden beast` number, since 10 + 0 + 4 + 4 + 8 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110747067 + ... + 110747973.

Almost surely, 2^100448000640 is an apocalyptic number.

100448000640 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 100448000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210053088000).

100448000640 is an abundant number, since it is smaller than the sum of its proper divisors (319658175360).

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

100448000640 is a wasteful number, since it uses less digits than its factorization.

100448000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100448000640 its reverse (46000844001), we get a palindrome (146448844641).

The spelling of 100448000640 in words is "one hundred billion, four hundred forty-eight million, six hundred forty", and thus it is an aban number.