240212031004100 has 216 divisors, whose sum is σ = 569621357290440. Its totient is φ = 87809719818240.

The previous prime is 240212031004063. The next prime is 240212031004201. The reversal of 240212031004100 is 1400130212042.

It can be written as a sum of positive squares in 12 ways, for example, as 80772316224964 + 159439714779136 = 8987342^2 + 12626944^2 .

It is a super-2 number, since 2×240212031004100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1169284592 + ... + 1169490008.

Almost surely, 2^{240212031004100} is an apocalyptic number.

240212031004100 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 240212031004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284810678645220).

240212031004100 is an abundant number, since it is smaller than the sum of its proper divisors (329409326286340).

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

240212031004100 is a wasteful number, since it uses less digits than its factorization.

240212031004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206615 (or 206589 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 240212031004100 its reverse (1400130212042), we get a palindrome (241612161216142).

The spelling of 240212031004100 in words is "two hundred forty trillion, two hundred twelve billion, thirty-one million, four thousand, one hundred".