47977021440 has 480 divisors, whose sum is σ = 173009760000. Its totient is φ = 12612796416.

The previous prime is 47977021423. The next prime is 47977021447. The reversal of 47977021440 is 4412077974.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47977021447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241090461 + ... + 241090659.

It is an arithmetic number, because the mean of its divisors is an integer number (360437000).

Almost surely, 2^47977021440 is an apocalyptic number.

47977021440 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 47977021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86504880000).

47977021440 is an abundant number, since it is smaller than the sum of its proper divisors (125032738560).

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

47977021440 is a wasteful number, since it uses less digits than its factorization.

47977021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 47977021440 in words is "forty-seven billion, nine hundred seventy-seven million, twenty-one thousand, four hundred forty".