46340958400 has 168 divisors, whose sum is σ = 125896567104. Its totient is φ = 16647705600.

The previous prime is 46340958373. The next prime is 46340958403. The reversal of 46340958400 is 485904364.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (46340958403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1444939 + ... + 1476661.

It is an arithmetic number, because the mean of its divisors is an integer number (749384328).

Almost surely, 2^46340958400 is an apocalyptic number.

46340958400 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 46340958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62948283552).

46340958400 is an abundant number, since it is smaller than the sum of its proper divisors (79555608704).

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

46340958400 is a wasteful number, since it uses less digits than its factorization.

46340958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31839 (or 31824 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 46340958400 in words is "forty-six billion, three hundred forty million, nine hundred fifty-eight thousand, four hundred".