46429044480 has 2160 divisors, whose sum is σ = 224995589280. Its totient is φ = 9029615616.

The previous prime is 46429044433. The next prime is 46429044481. The reversal of 46429044480 is 8444092464.

46429044480 is a `hidden beast` number, since 4 + 6 + 42 + 90 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46429044481) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 1254839022 + ... + 1254839058.

Almost surely, 2^46429044480 is an apocalyptic number.

46429044480 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 46429044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112497794640).

46429044480 is an abundant number, since it is smaller than the sum of its proper divisors (178566544800).

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

46429044480 is a wasteful number, since it uses less digits than its factorization.

46429044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46429044480 in words is "forty-six billion, four hundred twenty-nine million, forty-four thousand, four hundred eighty".