240210021040 has 160 divisors (see below), whose sum is σ = 616099763520. Its totient is φ = 86370816000.

The previous prime is 240210021031. The next prime is 240210021071. The reversal of 240210021040 is 40120012042.

240210021040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98566702 + ... + 98569138.

It is an arithmetic number, because the mean of its divisors is an integer number (3850623522).

Almost surely, 2^240210021040 is an apocalyptic number.

240210021040 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 240210021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308049881760).

240210021040 is an abundant number, since it is smaller than the sum of its proper divisors (375889742480).

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

240210021040 is a wasteful number, since it uses less digits than its factorization.

240210021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 240210021040 its reverse (40120012042), we get a palindrome (280330033082).

It can be divided in two parts, 24021002 and 1040, that added together give a palindrome (24022042).

The spelling of 240210021040 in words is "two hundred forty billion, two hundred ten million, twenty-one thousand, forty".