47179871415040 has 576 divisors, whose sum is σ = 144922687257600. Its totient is φ = 14312906883072.

The previous prime is 47179871414993. The next prime is 47179871415041. The reversal of 47179871415040 is 4051417897174.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (47179871415041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469480639 + ... + 469581121.

It is an arithmetic number, because the mean of its divisors is an integer number (251601887600).

Almost surely, 2^{47179871415040} is an apocalyptic number.

47179871415040 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 47179871415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72461343628800).

47179871415040 is an abundant number, since it is smaller than the sum of its proper divisors (97742815842560).

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

47179871415040 is a wasteful number, since it uses less digits than its factorization.

47179871415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100692 (or 100678 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 58.

The spelling of 47179871415040 in words is "forty-seven trillion, one hundred seventy-nine billion, eight hundred seventy-one million, four hundred fifteen thousand, forty".