101479539047040 has 2304 divisors, whose sum is σ = 449053728215040. Its totient is φ = 20881063526400.

The previous prime is 101479539047023. The next prime is 101479539047069. The reversal of 101479539047040 is 40740935974101.

101479539047040 is a `hidden beast` number, since 1 + 0 + 1 + 47 + 9 + 5 + 3 + 90 + 470 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 219178269849 + ... + 219178270311.

It is an arithmetic number, because the mean of its divisors is an integer number (194901791760).

Almost surely, 2^{101479539047040} is an apocalyptic number.

101479539047040 is a gapful number since it is divisible by the number (10) 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 101479539047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224526864107520).

101479539047040 is an abundant number, since it is smaller than the sum of its proper divisors (347574189168000).

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

101479539047040 is a wasteful number, since it uses less digits than its factorization.

101479539047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 101479539047040 in words is "one hundred one trillion, four hundred seventy-nine billion, five hundred thirty-nine million, forty-seven thousand, forty".