10021411440 has 480 divisors, whose sum is σ = 36033693696. Its totient is φ = 2492743680.

The previous prime is 10021411427. The next prime is 10021411453. The reversal of 10021411440 is 4411412001.

10021411440 is a `hidden beast` number, since 1 + 0 + 0 + 214 + 11 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10021411427) and next prime (10021411453).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103313472 + ... + 103313568.

Almost surely, 2^10021411440 is an apocalyptic number.

10021411440 is a gapful number since it is divisible by the number (10) 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 10021411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016846848).

10021411440 is an abundant number, since it is smaller than the sum of its proper divisors (26012282256).

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

10021411440 is a wasteful number, since it uses less digits than its factorization.

10021411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10021411440 its reverse (4411412001), we get a palindrome (14432823441).

The spelling of 10021411440 in words is "ten billion, twenty-one million, four hundred eleven thousand, four hundred forty".