466105479840 has 3840 divisors, whose sum is σ = 2439203880960. Its totient is φ = 80621568000.

The previous prime is 466105479761. The next prime is 466105479887. The reversal of 466105479840 is 48974501664.

466105479840 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 0 + 547 + 98 + 4 + 0 = 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 639 ways as a sum of consecutive naturals, for example, 7641073410 + ... + 7641073470.

It is an arithmetic number, because the mean of its divisors is an integer number (635209344).

Almost surely, 2^466105479840 is an apocalyptic number.

466105479840 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 466105479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219601940480).

466105479840 is an abundant number, since it is smaller than the sum of its proper divisors (1973098401120).

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

466105479840 is a wasteful number, since it uses less digits than its factorization.

466105479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 466105479840 in words is "four hundred sixty-six billion, one hundred five million, four hundred seventy-nine thousand, eight hundred forty".