46400999040 has 320 divisors, whose sum is σ = 180772780320. Its totient is φ = 11248588800.

The previous prime is 46400999011. The next prime is 46400999041. The reversal of 46400999040 is 4099900464.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (46400999041) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 529555 + ... + 610925.

Almost surely, 2^46400999040 is an apocalyptic number.

46400999040 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 46400999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90386390160).

46400999040 is an abundant number, since it is smaller than the sum of its proper divisors (134371781280).

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

46400999040 is a wasteful number, since it uses less digits than its factorization.

46400999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81413 (or 81392 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 46400999040 in words is "forty-six billion, four hundred million, nine hundred ninety-nine thousand, forty".