46107797040 has 240 divisors, whose sum is σ = 164284723200. Its totient is φ = 11556131328.

The previous prime is 46107797039. The next prime is 46107797051. The reversal of 46107797040 is 4079770164.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724091 + ... + 1750629.

It is an arithmetic number, because the mean of its divisors is an integer number (684519680).

Almost surely, 2^46107797040 is an apocalyptic number.

46107797040 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 46107797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82142361600).

46107797040 is an abundant number, since it is smaller than the sum of its proper divisors (118176926160).

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

46107797040 is a wasteful number, since it uses less digits than its factorization.

46107797040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26704 (or 26695 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 46107797040 in words is "forty-six billion, one hundred seven million, seven hundred ninety-seven thousand, forty".