46662020400 has 120 divisors (see below), whose sum is σ = 149661434944. Its totient is φ = 12427603200.

The previous prime is 46662020389. The next prime is 46662020401. The reversal of 46662020400 is 402026664.

It is a tau number, because it is divible by the number of its divisors (120).

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 (46662020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949227 + ... + 997173.

Almost surely, 2^46662020400 is an apocalyptic number.

46662020400 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 46662020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74830717472).

46662020400 is an abundant number, since it is smaller than the sum of its proper divisors (102999414544).

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

46662020400 is a wasteful number, since it uses less digits than its factorization.

46662020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48779 (or 48768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 46662020400 in words is "forty-six billion, six hundred sixty-two million, twenty thousand, four hundred".