46248820440 has 256 divisors, whose sum is σ = 149167595520. Its totient is φ = 11441295360.

The previous prime is 46248820439. The next prime is 46248820459. The reversal of 46248820440 is 4402884264.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46248820392 and 46248820401.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 46668345 + ... + 46669335.

It is an arithmetic number, because the mean of its divisors is an integer number (582685920).

Almost surely, 2^46248820440 is an apocalyptic number.

46248820440 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 46248820440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74583797760).

46248820440 is an abundant number, since it is smaller than the sum of its proper divisors (102918775080).

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

46248820440 is a wasteful number, since it uses less digits than its factorization.

46248820440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 46248820440 in words is "forty-six billion, two hundred forty-eight million, eight hundred twenty thousand, four hundred forty".