47396496998400 has 3456 divisors, whose sum is σ = 202211657625600. Its totient is φ = 9633477427200.

The previous prime is 47396496998327. The next prime is 47396496998407. The reversal of 47396496998400 is 489969469374.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47396496998407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 803330457571 + ... + 803330457629.

It is an arithmetic number, because the mean of its divisors is an integer number (58510317600).

Almost surely, 2^{47396496998400} is an apocalyptic number.

47396496998400 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 47396496998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101105828812800).

47396496998400 is an abundant number, since it is smaller than the sum of its proper divisors (154815160627200).

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

47396496998400 is a wasteful number, since it uses less digits than its factorization.

47396496998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 78.

The spelling of 47396496998400 in words is "forty-seven trillion, three hundred ninety-six billion, four hundred ninety-six million, nine hundred ninety-eight thousand, four hundred".