47455919293440 has 1408 divisors, whose sum is σ = 194016467386368. Its totient is φ = 9649426268160.

The previous prime is 47455919293373. The next prime is 47455919293441. The reversal of 47455919293440 is 4439291955474.

It is not an unprimeable number, because it can be changed into a prime (47455919293441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2436500982 + ... + 2436520458.

It is an arithmetic number, because the mean of its divisors is an integer number (137795786496).

Almost surely, 2^{47455919293440} is an apocalyptic number.

47455919293440 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 47455919293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97008233693184).

47455919293440 is an abundant number, since it is smaller than the sum of its proper divisors (146560548092928).

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

47455919293440 is a wasteful number, since it uses less digits than its factorization.

47455919293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19603 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 47455919293440 in words is "forty-seven trillion, four hundred fifty-five billion, nine hundred nineteen million, two hundred ninety-three thousand, four hundred forty".