201023040 has 224 divisors, whose sum is σ = 684702720. Its totient is φ = 49821696.

The previous prime is 201023029. The next prime is 201023071. The reversal of 201023040 is 40320102.

It is a super-2 number, since 2×201023040² = 80820525221683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1878667 + ... + 1878773.

Almost surely, 2^201023040 is an apocalyptic number.

201023040 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 201023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

201023040 is an abundant number, since it is smaller than the sum of its proper divisors (483679680).

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

201023040 is a wasteful number, since it uses less digits than its factorization.

201023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201023040 is about 14178.2594136234. The cubic root of 201023040 is about 585.7989813218.

Adding to 201023040 its reverse (40320102), we get a palindrome (241343142).

The spelling of 201023040 in words is "two hundred one million, twenty-three thousand, forty".