46223744400 has 360 divisors, whose sum is σ = 168166174176. Its totient is φ = 11744409600.

The previous prime is 46223744387. The next prime is 46223744419. The reversal of 46223744400 is 444732264.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 6343159 + ... + 6350441.

Almost surely, 2^46223744400 is an apocalyptic number.

46223744400 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 46223744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84083087088).

46223744400 is an abundant number, since it is smaller than the sum of its proper divisors (121942429776).

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

46223744400 is a wasteful number, since it uses less digits than its factorization.

46223744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 46223744400 in words is "forty-six billion, two hundred twenty-three million, seven hundred forty-four thousand, four hundred".