49902604416000 has 2464 divisors, whose sum is σ = 224607705803520. Its totient is φ = 10803290112000.

The previous prime is 49902604415957. The next prime is 49902604416017. The reversal of 49902604416000 is 61440620994.

49902604416000 is a `hidden beast` number, since 4 + 9 + 90 + 2 + 60 + 441 + 60 + 0 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 12410493990 + ... + 12410498010.

Almost surely, 2^{49902604416000} is an apocalyptic number.

49902604416000 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 49902604416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112303852901760).

49902604416000 is an abundant number, since it is smaller than the sum of its proper divisors (174705101387520).

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

49902604416000 is an equidigital number, since it uses as much as digits as its factorization.

49902604416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 49902604416000 in words is "forty-nine trillion, nine hundred two billion, six hundred four million, four hundred sixteen thousand".