240404010032020 has 96 divisors (see below), whose sum is σ = 524318010400800. Its totient is φ = 92479440076800.

The previous prime is 240404010031967. The next prime is 240404010032033. The reversal of 240404010032020 is 20230010404042.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 169039158268036 + 71364851763984 = 13001506^2 + 8447772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240404010031982 and 240404010032000.

It is a congruent number.

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, 692711340 + ... + 693058300.

It is an arithmetic number, because the mean of its divisors is an integer number (5461645941675).

Almost surely, 2^{240404010032020} is an apocalyptic number.

240404010032020 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 240404010032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262159005200400).

240404010032020 is an abundant number, since it is smaller than the sum of its proper divisors (283914000368780).

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

240404010032020 is a wasteful number, since it uses less digits than its factorization.

240404010032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351709 (or 351707 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 240404010032020 its reverse (20230010404042), we get a palindrome (260634020436062).

The spelling of 240404010032020 in words is "two hundred forty trillion, four hundred four billion, ten million, thirty-two thousand, twenty".