46461408840 has 1280 divisors, whose sum is σ = 205341143040. Its totient is φ = 9144576000.

The previous prime is 46461408803. The next prime is 46461408857. The reversal of 46461408840 is 4880416464.

46461408840 is a `hidden beast` number, since 464 + 6 + 140 + 8 + 8 + 40 = 666.

It is a super-2 number, since 2×46461408840² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 654386005 + ... + 654386075.

It is an arithmetic number, because the mean of its divisors is an integer number (160422768).

Almost surely, 2^46461408840 is an apocalyptic number.

46461408840 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 46461408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102670571520).

46461408840 is an abundant number, since it is smaller than the sum of its proper divisors (158879734200).

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

46461408840 is a wasteful number, since it uses less digits than its factorization.

46461408840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 46461408840 in words is "forty-six billion, four hundred sixty-one million, four hundred eight thousand, eight hundred forty".