9876445363440 has 240 divisors, whose sum is σ = 36420200395488. Its totient is φ = 2478794047488.

The previous prime is 9876445363429. The next prime is 9876445363493. The reversal of 9876445363440 is 443635446789.

9876445363440 is a `hidden beast` number, since 9 + 8 + 7 + 64 + 4 + 536 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 14612097 + ... + 15273056.

Almost surely, 2^{9876445363440} is an apocalyptic number.

9876445363440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9876445363440 is an abundant number, since it is smaller than the sum of its proper divisors (26543755032048).

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

9876445363440 is a wasteful number, since it uses less digits than its factorization.

9876445363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29885198 (or 29885180 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 9876445363440 in words is "nine trillion, eight hundred seventy-six billion, four hundred forty-five million, three hundred sixty-three thousand, four hundred forty".