46240333920 has 432 divisors, whose sum is σ = 179886404880. Its totient is φ = 11208637440.

The previous prime is 46240333903. The next prime is 46240333961. The reversal of 46240333920 is 2933304264.

46240333920 is a `hidden beast` number, since 4 + 624 + 0 + 3 + 3 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4699566 + ... + 4709394.

It is an arithmetic number, because the mean of its divisors is an integer number (416403715).

Almost surely, 2^46240333920 is an apocalyptic number.

46240333920 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 46240333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89943202440).

46240333920 is an abundant number, since it is smaller than the sum of its proper divisors (133646070960).

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

46240333920 is a wasteful number, since it uses less digits than its factorization.

46240333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 46240333920 in words is "forty-six billion, two hundred forty million, three hundred thirty-three thousand, nine hundred twenty".