49400490280320 has 1024 divisors, whose sum is σ = 192361171680000. Its totient is φ = 11925962883072.

The previous prime is 49400490280319. The next prime is 49400490280333. The reversal of 49400490280320 is 2308209400494.

It is a happy number.

49400490280320 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 0 + 49 + 0 + 280 + 320 = 666.

49400490280320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2291610982 + ... + 2291632538.

Almost surely, 2^{49400490280320} is an apocalyptic number.

49400490280320 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 49400490280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96180585840000).

49400490280320 is an abundant number, since it is smaller than the sum of its proper divisors (142960681399680).

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

49400490280320 is a wasteful number, since it uses less digits than its factorization.

49400490280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21900 (or 21882 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 49400490280320 in words is "forty-nine trillion, four hundred billion, four hundred ninety million, two hundred eighty thousand, three hundred twenty".