240200040 has 128 divisors (see below), whose sum is σ = 778118400. Its totient is φ = 59136000.

The previous prime is 240200039. The next prime is 240200057. The reversal of 240200040 is 40002042.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 240199989 and 240200025.

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, 78540 + ... + 81540.

It is an arithmetic number, because the mean of its divisors is an integer number (6079050).

Almost surely, 2^240200040 is an apocalyptic number.

240200040 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 240200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389059200).

240200040 is an abundant number, since it is smaller than the sum of its proper divisors (537918360).

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

240200040 is a wasteful number, since it uses less digits than its factorization.

240200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 240200040 is about 15498.3883033043. The cubic root of 240200040 is about 621.6191117956.

Adding to 240200040 its reverse (40002042), we get a palindrome (280202082).

The spelling of 240200040 in words is "two hundred forty million, two hundred thousand, forty".