49222658534400 has 1188 divisors, whose sum is σ = 197095986042592. Its totient is φ = 12115809239040.

The previous prime is 49222658534219. The next prime is 49222658534549. The reversal of 49222658534400 is 443585622294.

49222658534400 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 2 + 65 + 8 + 534 + 40 + 0 = 666.

It is a super-2 number, since 2×49222658534400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2183489529 + ... + 2183512071.

Almost surely, 2^{49222658534400} is an apocalyptic number.

49222658534400 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 49222658534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98547993021296).

49222658534400 is an abundant number, since it is smaller than the sum of its proper divisors (147873327508192).

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

49222658534400 is an equidigital number, since it uses as much as digits as its factorization.

49222658534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22610 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 49222658534400 in words is "forty-nine trillion, two hundred twenty-two billion, six hundred fifty-eight million, five hundred thirty-four thousand, four hundred".