47229300518400 has 4320 divisors, whose sum is σ = 235514649097728. Its totient is φ = 8728628428800.

The previous prime is 47229300518383. The next prime is 47229300518401. The reversal of 47229300518400 is 481500392274.

47229300518400 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 93 + 0 + 0 + 518 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47229300518401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 96980082957 + ... + 96980083443.

Almost surely, 2^{47229300518400} is an apocalyptic number.

47229300518400 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 47229300518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117757324548864).

47229300518400 is an abundant number, since it is smaller than the sum of its proper divisors (188285348579328).

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

47229300518400 is a wasteful number, since it uses less digits than its factorization.

47229300518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47229300518400 in words is "forty-seven trillion, two hundred twenty-nine billion, three hundred million, five hundred eighteen thousand, four hundred".