47129538407040 has 1024 divisors, whose sum is σ = 173523679488000. Its totient is φ = 12081891115008.

The previous prime is 47129538407023. The next prime is 47129538407059. The reversal of 47129538407040 is 4070483592174.

47129538407040 is a `hidden beast` number, since 4 + 7 + 1 + 29 + 538 + 40 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11348309604 + ... + 11348313756.

It is an arithmetic number, because the mean of its divisors is an integer number (169456718250).

Almost surely, 2^{47129538407040} is an apocalyptic number.

47129538407040 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 47129538407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86761839744000).

47129538407040 is an abundant number, since it is smaller than the sum of its proper divisors (126394141080960).

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

47129538407040 is a wasteful number, since it uses less digits than its factorization.

47129538407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47129538407040 in words is "forty-seven trillion, one hundred twenty-nine billion, five hundred thirty-eight million, four hundred seven thousand, forty".