47342866964400 has 480 divisors, whose sum is σ = 192707203806720. Its totient is φ = 10813952977920.

The previous prime is 47342866964399. The next prime is 47342866964417. The reversal of 47342866964400 is 446966824374.

It is a happy number.

47342866964400 is a `hidden beast` number, since 4 + 7 + 3 + 42 + 8 + 66 + 96 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112661079 + ... + 113080521.

It is an arithmetic number, because the mean of its divisors is an integer number (401473341264).

Almost surely, 2^{47342866964400} is an apocalyptic number.

47342866964400 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 47342866964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96353601903360).

47342866964400 is an abundant number, since it is smaller than the sum of its proper divisors (145364336842320).

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

47342866964400 is a wasteful number, since it uses less digits than its factorization.

47342866964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420970 (or 420953 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 47342866964400 in words is "forty-seven trillion, three hundred forty-two billion, eight hundred sixty-six million, nine hundred sixty-four thousand, four hundred".