842436349009920 has 1344 divisors, whose sum is σ = 3423991944731904. Its totient is φ = 187627449876480.

The previous prime is 842436349009919. The next prime is 842436349009973. The reversal of 842436349009920 is 29900943634248.

842436349009920 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 36 + 3 + 490 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15635101380 + ... + 15635155260.

It is an arithmetic number, because the mean of its divisors is an integer number (2547613054116).

Almost surely, 2^{842436349009920} is an apocalyptic number.

842436349009920 is a gapful number since it is divisible by the number (80) 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 842436349009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711995972365952).

842436349009920 is an abundant number, since it is smaller than the sum of its proper divisors (2581555595721984).

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

842436349009920 is a wasteful number, since it uses less digits than its factorization.

842436349009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54081 (or 54054 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 842436349009920 in words is "eight hundred forty-two trillion, four hundred thirty-six billion, three hundred forty-nine million, nine thousand, nine hundred twenty".