218021990400 has 468 divisors, whose sum is σ = 822074315920. Its totient is φ = 55074816000.

The previous prime is 218021990383. The next prime is 218021990411. The reversal of 218021990400 is 4099120812.

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 35 ways as a sum of consecutive naturals, for example, 17504175 + ... + 17516625.

Almost surely, 2^218021990400 is an apocalyptic number.

218021990400 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 218021990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411037157960).

218021990400 is an abundant number, since it is smaller than the sum of its proper divisors (604052325520).

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

218021990400 is a wasteful number, since it uses less digits than its factorization.

218021990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12510 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 218021990400 in words is "two hundred eighteen billion, twenty-one million, nine hundred ninety thousand, four hundred".