46064242400 has 72 divisors (see below), whose sum is σ = 122677476264. Its totient is φ = 16750630400.

The previous prime is 46064242369. The next prime is 46064242403. The reversal of 46064242400 is 424246064.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46064242403) 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 11 ways as a sum of consecutive naturals, for example, 2608487 + ... + 2626086.

It is an arithmetic number, because the mean of its divisors is an integer number (1703853837).

Almost surely, 2^46064242400 is an apocalyptic number.

46064242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46064242400 is an abundant number, since it is smaller than the sum of its proper divisors (76613233864).

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

46064242400 is a wasteful number, since it uses less digits than its factorization.

46064242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234604 (or 5234591 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 46064242400 its reverse (424246064), we get a palindrome (46488488464).

The spelling of 46064242400 in words is "forty-six billion, sixty-four million, two hundred forty-two thousand, four hundred".