49175349350400 has 4992 divisors, whose sum is σ = 238797871513600. Its totient is φ = 9751984865280.

The previous prime is 49175349350383. The next prime is 49175349350429. The reversal of 49175349350400 is 405394357194.

49175349350400 is a `hidden beast` number, since 4 + 9 + 1 + 75 + 34 + 93 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 387207475137 + ... + 387207475263.

Almost surely, 2^{49175349350400} is an apocalyptic number.

49175349350400 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 49175349350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119398935756800).

49175349350400 is an abundant number, since it is smaller than the sum of its proper divisors (189622522163200).

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

49175349350400 is a wasteful number, since it uses less digits than its factorization.

49175349350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 49175349350400 in words is "forty-nine trillion, one hundred seventy-five billion, three hundred forty-nine million, three hundred fifty thousand, four hundred".