46334042400 has 144 divisors (see below), whose sum is σ = 156018139200. Its totient is φ = 11929666560.

The previous prime is 46334042389. The next prime is 46334042401. The reversal of 46334042400 is 424043364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46334042401) 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, 263260 + ... + 402459.

It is an arithmetic number, because the mean of its divisors is an integer number (1083459300).

Almost surely, 2^46334042400 is an apocalyptic number.

46334042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46334042400 is an abundant number, since it is smaller than the sum of its proper divisors (109684096800).

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

46334042400 is a wasteful number, since it uses less digits than its factorization.

46334042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665771 (or 665758 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 46334042400 its reverse (424043364), we get a palindrome (46758085764).

The spelling of 46334042400 in words is "forty-six billion, three hundred thirty-four million, forty-two thousand, four hundred".