47841062400 has 480 divisors, whose sum is σ = 177871874400. Its totient is φ = 12750151680.

The previous prime is 47841062389. The next prime is 47841062441. The reversal of 47841062400 is 426014874.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27992746 + ... + 27994454.

It is an arithmetic number, because the mean of its divisors is an integer number (370566405).

Almost surely, 2^47841062400 is an apocalyptic number.

47841062400 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 47841062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88935937200).

47841062400 is an abundant number, since it is smaller than the sum of its proper divisors (130030812000).

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

47841062400 is an frugal number, since it uses more digits than its factorization.

47841062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 47841062400 in words is "forty-seven billion, eight hundred forty-one million, sixty-two thousand, four hundred".