46407924449280 has 1296 divisors, whose sum is σ = 171625558968864. Its totient is φ = 12039487488000.

The previous prime is 46407924449273. The next prime is 46407924449377. The reversal of 46407924449280 is 8294442970464.

46407924449280 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 79 + 244 + 49 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 71 ways as a sum of consecutive naturals, for example, 184892129155 + ... + 184892129405.

It is an arithmetic number, because the mean of its divisors is an integer number (132427128834).

Almost surely, 2^{46407924449280} is an apocalyptic number.

46407924449280 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 46407924449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85812779484432).

46407924449280 is an abundant number, since it is smaller than the sum of its proper divisors (125217634519584).

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

46407924449280 is an frugal number, since it uses more digits than its factorization.

46407924449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 46407924449280 in words is "forty-six trillion, four hundred seven billion, nine hundred twenty-four million, four hundred forty-nine thousand, two hundred eighty".