901140240 has 640 divisors, whose sum is σ = 3903750144. Its totient is φ = 167270400.

The previous prime is 901140193. The next prime is 901140269. The reversal of 901140240 is 42041109.

901140240 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29069025 + ... + 29069055.

Almost surely, 2^901140240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951875072).

901140240 is an abundant number, since it is smaller than the sum of its proper divisors (3002609904).

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

901140240 is a wasteful number, since it uses less digits than its factorization.

901140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 901140240 is about 30018.9979846097. The cubic root of 901140240 is about 965.8969494297.

Adding to 901140240 its reverse (42041109), we get a palindrome (943181349).

It can be divided in two parts, 901 and 140240, that added together give a palindrome (141141).

The spelling of 901140240 in words is "nine hundred one million, one hundred forty thousand, two hundred forty".