46409932800000 has 3264 divisors, whose sum is σ = 216253308902400. Its totient is φ = 9555148800000.

The previous prime is 46409932799983. The next prime is 46409932800019. The reversal of 46409932800000 is 823990464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 425779199946 + ... + 425779200054.

Almost surely, 2^{46409932800000} is an apocalyptic number.

46409932800000 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 46409932800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108126654451200).

46409932800000 is an abundant number, since it is smaller than the sum of its proper divisors (169843376102400).

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

46409932800000 is an frugal number, since it uses more digits than its factorization.

46409932800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 46409932800000 in words is "forty-six trillion, four hundred nine billion, nine hundred thirty-two million, eight hundred thousand".