49224015360000 has 2080 divisors, whose sum is σ = 203122973592000. Its totient is φ = 11692670976000.

The previous prime is 49224015359999. The next prime is 49224015360001. The reversal of 49224015360000 is 6351042294.

It is a happy number.

49224015360000 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 40 + 1 + 5 + 3 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49224015359999) and next prime (49224015360001).

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49224015360001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26058239056 + ... + 26058240944.

Almost surely, 2^{49224015360000} is an apocalyptic number.

49224015360000 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 49224015360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101561486796000).

49224015360000 is an abundant number, since it is smaller than the sum of its proper divisors (153898958232000).

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

49224015360000 is a wasteful number, since it uses less digits than its factorization.

49224015360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 49224015360000 in words is "forty-nine trillion, two hundred twenty-four billion, fifteen million, three hundred sixty thousand".