10212405840 has 480 divisors, whose sum is σ = 42767262720. Its totient is φ = 2126352384.

The previous prime is 10212405839. The next prime is 10212405851. The reversal of 10212405840 is 4850421201.

10212405840 is a `hidden beast` number, since 1 + 0 + 212 + 405 + 8 + 40 = 666.

It is a super-2 number, since 2×10212405840² (a number of 21 digits) contains 22 as substring.

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, 5175094 + ... + 5177066.

It is an arithmetic number, because the mean of its divisors is an integer number (89098464).

Almost surely, 2^10212405840 is an apocalyptic number.

10212405840 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 10212405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383631360).

10212405840 is an abundant number, since it is smaller than the sum of its proper divisors (32554856880).

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

10212405840 is a wasteful number, since it uses less digits than its factorization.

10212405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10212405840 in words is "ten billion, two hundred twelve million, four hundred five thousand, eight hundred forty".