240305004402100 has 144 divisors (see below), whose sum is σ = 569406275665920. Its totient is φ = 87300897724800.

The previous prime is 240305004402079. The next prime is 240305004402101. The reversal of 240305004402100 is 1204400503042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240305004402101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12384930999 + ... + 12384950401.

It is an arithmetic number, because the mean of its divisors is an integer number (3954210247680).

Almost surely, 2^{240305004402100} is an apocalyptic number.

240305004402100 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 240305004402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284703137832960).

240305004402100 is an abundant number, since it is smaller than the sum of its proper divisors (329101271263820).

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

240305004402100 is a wasteful number, since it uses less digits than its factorization.

240305004402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29510 (or 29503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 240305004402100 its reverse (1204400503042), we get a palindrome (241509404905142).

The spelling of 240305004402100 in words is "two hundred forty trillion, three hundred five billion, four million, four hundred two thousand, one hundred".