49842406080000 has 800 divisors, whose sum is σ = 195207625689120. Its totient is φ = 12509429760000.

The previous prime is 49842406079989. The next prime is 49842406080001. The reversal of 49842406080000 is 8060424894.

49842406080000 is a `hidden beast` number, since 4 + 98 + 424 + 0 + 60 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49842406080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146710330 + ... + 147049670.

Almost surely, 2^{49842406080000} is an apocalyptic number.

49842406080000 is a gapful number since it is divisible by the number (40) 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 49842406080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97603812844560).

49842406080000 is an abundant number, since it is smaller than the sum of its proper divisors (145365219609120).

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

49842406080000 is an equidigital number, since it uses as much as digits as its factorization.

49842406080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339405 (or 339368 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 49842406080000 in words is "forty-nine trillion, eight hundred forty-two billion, four hundred six million, eighty thousand".