46606285440 has 640 divisors, whose sum is σ = 195568369920. Its totient is φ = 10427719680.

The previous prime is 46606285387. The next prime is 46606285441. The reversal of 46606285440 is 4458260664.

46606285440 is a `hidden beast` number, since 46 + 6 + 0 + 62 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46606285441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7409977 + ... + 7416263.

It is an arithmetic number, because the mean of its divisors is an integer number (305575578).

Almost surely, 2^46606285440 is an apocalyptic number.

46606285440 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 46606285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97784184960).

46606285440 is an abundant number, since it is smaller than the sum of its proper divisors (148962084480).

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

46606285440 is a wasteful number, since it uses less digits than its factorization.

46606285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46606285440 in words is "forty-six billion, six hundred six million, two hundred eighty-five thousand, four hundred forty".