49033118822400 has 936 divisors, whose sum is σ = 191957548109184. Its totient is φ = 11909254348800.

The previous prime is 49033118822381. The next prime is 49033118822461. The reversal of 49033118822400 is 422881133094.

49033118822400 is a `hidden beast` number, since 4 + 90 + 3 + 311 + 8 + 8 + 2 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485632722 + ... + 485733678.

It is an arithmetic number, because the mean of its divisors is an integer number (205082850544).

Almost surely, 2^{49033118822400} is an apocalyptic number.

49033118822400 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 49033118822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95978774054592).

49033118822400 is an abundant number, since it is smaller than the sum of its proper divisors (142924429286784).

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

49033118822400 is a wasteful number, since it uses less digits than its factorization.

49033118822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101045 (or 101015 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 49033118822400 its reverse (422881133094), we get a palindrome (49455999955494).

The spelling of 49033118822400 in words is "forty-nine trillion, thirty-three billion, one hundred eighteen million, eight hundred twenty-two thousand, four hundred".