46433982240 has 480 divisors, whose sum is σ = 174272757120. Its totient is φ = 11603091456.

The previous prime is 46433982197. The next prime is 46433982251. The reversal of 46433982240 is 4228933464.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×46433982240² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92313829 + ... + 92314331.

It is an arithmetic number, because the mean of its divisors is an integer number (363068244).

Almost surely, 2^46433982240 is an apocalyptic number.

46433982240 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 46433982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87136378560).

46433982240 is an abundant number, since it is smaller than the sum of its proper divisors (127838774880).

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

46433982240 is a wasteful number, since it uses less digits than its factorization.

46433982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 46433982240 in words is "forty-six billion, four hundred thirty-three million, nine hundred eighty-two thousand, two hundred forty".