49004608504320 has 3600 divisors, whose sum is σ = 223373731648320. Its totient is φ = 10030398013440.

The previous prime is 49004608504279. The next prime is 49004608504361. The reversal of 49004608504320 is 2340580640094.

49004608504320 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 4 + 608 + 5 + 0 + 4 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49004608504279) and next prime (49004608504361).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1139642058219 + ... + 1139642058261.

Almost surely, 2^{49004608504320} is an apocalyptic number.

49004608504320 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 49004608504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111686865824160).

49004608504320 is an abundant number, since it is smaller than the sum of its proper divisors (174369123144000).

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

49004608504320 is an equidigital number, since it uses as much as digits as its factorization.

49004608504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 49004608504320 in words is "forty-nine trillion, four billion, six hundred eight million, five hundred four thousand, three hundred twenty".