46195034240 has 64 divisors (see below), whose sum is σ = 110893610520. Its totient is φ = 18401280000.

The previous prime is 46195034233. The next prime is 46195034279. The reversal of 46195034240 is 4243059164.

It can be written as a sum of positive squares in 4 ways, for example, as 33941429824 + 12253604416 = 184232^2 + 110696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 46195034194 and 46195034203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4490 + ... + 303990.

Almost surely, 2^46195034240 is an apocalyptic number.

46195034240 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 46195034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55446805260).

46195034240 is an abundant number, since it is smaller than the sum of its proper divisors (64698576280).

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

46195034240 is a wasteful number, since it uses less digits than its factorization.

46195034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299761 (or 299749 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 46195034240 in words is "forty-six billion, one hundred ninety-five million, thirty-four thousand, two hundred forty".