46124762240 has 128 divisors (see below), whose sum is σ = 112942494720. Its totient is φ = 18004561920.

The previous prime is 46124762239. The next prime is 46124762251. The reversal of 46124762240 is 4226742164.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46124762194 and 46124762203.

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 15 ways as a sum of consecutive naturals, for example, 11217785 + ... + 11221895.

It is an arithmetic number, because the mean of its divisors is an integer number (882363240).

Almost surely, 2^46124762240 is an apocalyptic number.

46124762240 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 46124762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56471247360).

46124762240 is an abundant number, since it is smaller than the sum of its proper divisors (66817732480).

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

46124762240 is a wasteful number, since it uses less digits than its factorization.

46124762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 46124762240 in words is "forty-six billion, one hundred twenty-four million, seven hundred sixty-two thousand, two hundred forty".