46305981469440 has 1152 divisors, whose sum is σ = 207676182067200. Its totient is φ = 9490173788160.

The previous prime is 46305981469403. The next prime is 46305981469457. The reversal of 46305981469440 is 4496418950364.

It is a happy number.

46305981469440 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 59 + 81 + 4 + 69 + 440 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194142576 + ... + 194380944.

It is an arithmetic number, because the mean of its divisors is an integer number (180274463600).

Almost surely, 2^{46305981469440} is an apocalyptic number.

46305981469440 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 46305981469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103838091033600).

46305981469440 is an abundant number, since it is smaller than the sum of its proper divisors (161370200597760).

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

46305981469440 is a wasteful number, since it uses less digits than its factorization.

46305981469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238490 (or 238470 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 46305981469440 in words is "forty-six trillion, three hundred five billion, nine hundred eighty-one million, four hundred sixty-nine thousand, four hundred forty".