200478434156000 has 1728 divisors, whose sum is σ = 706465291843584. Its totient is φ = 54283087872000.

The previous prime is 200478434155991. The next prime is 200478434156003. The reversal of 200478434156000 is 651434874002.

It is a happy number.

It is a super-3 number, since 3×200478434156000³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200478434156003) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15043021337 + ... + 15043034663.

It is an arithmetic number, because the mean of its divisors is an integer number (408834080928).

Almost surely, 2^{200478434156000} is an apocalyptic number.

200478434156000 is a gapful number since it is divisible by the number (20) 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 200478434156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353232645921792).

200478434156000 is an abundant number, since it is smaller than the sum of its proper divisors (505986857687584).

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

200478434156000 is a wasteful number, since it uses less digits than its factorization.

200478434156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430 (or 13382 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 200478434156000 in words is "two hundred trillion, four hundred seventy-eight billion, four hundred thirty-four million, one hundred fifty-six thousand".