4672641443400 has 1440 divisors, whose sum is σ = 19351577044800. Its totient is φ = 1023066547200.

The previous prime is 4672641443389. The next prime is 4672641443413. The reversal of 4672641443400 is 43441462764.

4672641443400 is a `hidden beast` number, since 4 + 6 + 7 + 264 + 1 + 44 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 43669546147 + ... + 43669546253.

It is an arithmetic number, because the mean of its divisors is an integer number (13438595170).

Almost surely, 2^{4672641443400} is an apocalyptic number.

4672641443400 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 4672641443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675788522400).

4672641443400 is an abundant number, since it is smaller than the sum of its proper divisors (14678935601400).

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

4672641443400 is a wasteful number, since it uses less digits than its factorization.

4672641443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 4672641443400 in words is "four trillion, six hundred seventy-two billion, six hundred forty-one million, four hundred forty-three thousand, four hundred".