47934374400 has 840 divisors, whose sum is σ = 194663527344. Its totient is φ = 11595571200.

The previous prime is 47934374393. The next prime is 47934374419. The reversal of 47934374400 is 447343974.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 102642967 + ... + 102643433.

Almost surely, 2^47934374400 is an apocalyptic number.

47934374400 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 47934374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97331763672).

47934374400 is an abundant number, since it is smaller than the sum of its proper divisors (146729152944).

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

47934374400 is an equidigital number, since it uses as much as digits as its factorization.

47934374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 47934374400 in words is "forty-seven billion, nine hundred thirty-four million, three hundred seventy-four thousand, four hundred".