46682101440 has 1120 divisors, whose sum is σ = 190836011520. Its totient is φ = 10749542400.

The previous prime is 46682101397. The next prime is 46682101441. The reversal of 46682101440 is 4410128664.

It is a happy number.

46682101440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46682101395 and 46682101404.

It is not an unprimeable number, because it can be changed into a prime (46682101441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 428276106 + ... + 428276214.

It is an arithmetic number, because the mean of its divisors is an integer number (170389296).

Almost surely, 2^46682101440 is an apocalyptic number.

46682101440 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 46682101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418005760).

46682101440 is an abundant number, since it is smaller than the sum of its proper divisors (144153910080).

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

46682101440 is a wasteful number, since it uses less digits than its factorization.

46682101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 46682101440 in words is "forty-six billion, six hundred eighty-two million, one hundred one thousand, four hundred forty".