46430591040 has 224 divisors, whose sum is σ = 167793131520. Its totient is φ = 12079411200.

The previous prime is 46430590991. The next prime is 46430591069. The reversal of 46430591040 is 4019503464.

46430591040 is a `hidden beast` number, since 4 + 64 + 3 + 0 + 591 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46430590986 and 46430591004.

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 31 ways as a sum of consecutive naturals, for example, 288705 + ... + 419775.

It is an arithmetic number, because the mean of its divisors is an integer number (749076480).

Almost surely, 2^46430591040 is an apocalyptic number.

46430591040 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 46430591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83896565760).

46430591040 is an abundant number, since it is smaller than the sum of its proper divisors (121362540480).

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

46430591040 is a wasteful number, since it uses less digits than its factorization.

46430591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131138 (or 131122 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46430591040 in words is "forty-six billion, four hundred thirty million, five hundred ninety-one thousand, forty".