46442664400 has 120 divisors (see below), whose sum is σ = 121799507904. Its totient is φ = 16877491200.

The previous prime is 46442664397. The next prime is 46442664407. The reversal of 46442664400 is 446624464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46442664407) 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, 11011092 + ... + 11015308.

Almost surely, 2^46442664400 is an apocalyptic number.

46442664400 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 46442664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60899753952).

46442664400 is an abundant number, since it is smaller than the sum of its proper divisors (75356843504).

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

46442664400 is a wasteful number, since it uses less digits than its factorization.

46442664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 46442664400 in words is "forty-six billion, four hundred forty-two million, six hundred sixty-four thousand, four hundred".