49404899617920 has 3200 divisors, whose sum is σ = 235277599708800. Its totient is φ = 9644409815040.

The previous prime is 49404899617889. The next prime is 49404899617949. The reversal of 49404899617920 is 2971699840494.

49404899617920 is a `hidden beast` number, since 4 + 9 + 40 + 489 + 9 + 6 + 17 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 90319743087 + ... + 90319743633.

It is an arithmetic number, because the mean of its divisors is an integer number (73524249909).

Almost surely, 2^{49404899617920} is an apocalyptic number.

49404899617920 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 49404899617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117638799854400).

49404899617920 is an abundant number, since it is smaller than the sum of its proper divisors (185872700090880).

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

49404899617920 is an equidigital number, since it uses as much as digits as its factorization.

49404899617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 49404899617920 in words is "forty-nine trillion, four hundred four billion, eight hundred ninety-nine million, six hundred seventeen thousand, nine hundred twenty".