201918420000 has 840 divisors, whose sum is σ = 813136650480. Its totient is φ = 48911040000.

The previous prime is 201918419947. The next prime is 201918420037. The reversal of 201918420000 is 24819102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 160379371 + ... + 160380629.

It is an arithmetic number, because the mean of its divisors is an integer number (968019822).

Almost surely, 2^201918420000 is an apocalyptic number.

201918420000 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 201918420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406568325240).

201918420000 is an abundant number, since it is smaller than the sum of its proper divisors (611218230480).

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

201918420000 is an equidigital number, since it uses as much as digits as its factorization.

201918420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 2019184 and 20000, that added together give a square (2039184 = 1428²).

The spelling of 201918420000 in words is "two hundred one billion, nine hundred eighteen million, four hundred twenty thousand".