46442078052480 has 1152 divisors, whose sum is σ = 183670790284800. Its totient is φ = 10793137766400.

The previous prime is 46442078052473. The next prime is 46442078052499. The reversal of 46442078052480 is 8425087024464.

It is a happy number.

46442078052480 is a `hidden beast` number, since 4 + 6 + 4 + 42 + 0 + 78 + 0 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×46442078052480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2311806276 + ... + 2311826364.

It is an arithmetic number, because the mean of its divisors is an integer number (159436449900).

Almost surely, 2^{46442078052480} is an apocalyptic number.

46442078052480 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 46442078052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91835395142400).

46442078052480 is an abundant number, since it is smaller than the sum of its proper divisors (137228712232320).

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

46442078052480 is a wasteful number, since it uses less digits than its factorization.

46442078052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20274 (or 20248 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 46442078052480 in words is "forty-six trillion, four hundred forty-two billion, seventy-eight million, fifty-two thousand, four hundred eighty".