46642280040 has 96 divisors (see below), whose sum is σ = 151785433800. Its totient is φ = 12421693440.

The previous prime is 46642279963. The next prime is 46642280059. The reversal of 46642280040 is 4008224664.

It is a happy number.

46642280040 is a `hidden beast` number, since 4 + 6 + 642 + 2 + 8 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36434410884 + 10207869156 = 190878^2 + 101034^2 .

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 = 46642279977 and 46642280004.

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 23 ways as a sum of consecutive naturals, for example, 192600 + ... + 361080.

Almost surely, 2^46642280040 is an apocalyptic number.

46642280040 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 46642280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75892716900).

46642280040 is an abundant number, since it is smaller than the sum of its proper divisors (105143153760).

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

46642280040 is a wasteful number, since it uses less digits than its factorization.

46642280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169267 (or 169260 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 46642280040 in words is "forty-six billion, six hundred forty-two million, two hundred eighty thousand, forty".