102541464449424 has 480 divisors, whose sum is σ = 388717182008064. Its totient is φ = 24367792619520.

The previous prime is 102541464449419. The next prime is 102541464449477. The reversal of 102541464449424 is 424944464145201.

102541464449424 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 146 + 4 + 4 + 494 + 2 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13140564 + ... + 19435980.

Almost surely, 2^{102541464449424} is an apocalyptic number.

102541464449424 is a gapful number since it is divisible by the number (14) 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 102541464449424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194358591004032).

102541464449424 is an abundant number, since it is smaller than the sum of its proper divisors (286175717558640).

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

102541464449424 is a wasteful number, since it uses less digits than its factorization.

102541464449424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295575 (or 6295566 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 102541464449424 in words is "one hundred two trillion, five hundred forty-one billion, four hundred sixty-four million, four hundred forty-nine thousand, four hundred twenty-four".