47102702400 has 1512 divisors, whose sum is σ = 206387587224. Its totient is φ = 10085990400.

The previous prime is 47102702399. The next prime is 47102702459. The reversal of 47102702400 is 420720174.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27248765184 + 19853937216 = 165072^2 + 140904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1148846380 + ... + 1148846420.

It is an arithmetic number, because the mean of its divisors is an integer number (136499727).

Almost surely, 2^47102702400 is an apocalyptic number.

47102702400 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 47102702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103193793612).

47102702400 is an abundant number, since it is smaller than the sum of its proper divisors (159284884824).

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

47102702400 is a wasteful number, since it uses less digits than its factorization.

47102702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 47102702400 in words is "forty-seven billion, one hundred two million, seven hundred two thousand, four hundred".