46423540800 has 1344 divisors, whose sum is σ = 213416896000. Its totient is φ = 9754214400.

The previous prime is 46423540781. The next prime is 46423540811. The reversal of 46423540800 is 804532464.

46423540800 is a `hidden beast` number, since 4 + 642 + 3 + 5 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192628680 + ... + 192628920.

Almost surely, 2^46423540800 is an apocalyptic number.

46423540800 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 46423540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106708448000).

46423540800 is an abundant number, since it is smaller than the sum of its proper divisors (166993355200).

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

46423540800 is a wasteful number, since it uses less digits than its factorization.

46423540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 46423540800 in words is "forty-six billion, four hundred twenty-three million, five hundred forty thousand, eight hundred".