46402800000 has 192 divisors, whose sum is σ = 154065920400. Its totient is φ = 12373760000.

The previous prime is 46402799873. The next prime is 46402800001. The reversal of 46402800000 is 820464.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46402800001) 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, 1180666 + ... + 1219334.

Almost surely, 2^46402800000 is an apocalyptic number.

46402800000 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 46402800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77032960200).

46402800000 is an abundant number, since it is smaller than the sum of its proper divisors (107663120400).

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

46402800000 is an frugal number, since it uses more digits than its factorization.

46402800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38711 (or 38679 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 46402800000 in words is "forty-six billion, four hundred two million, eight hundred thousand".