10085421240 has 256 divisors, whose sum is σ = 34848000000. Its totient is φ = 2592705024.

The previous prime is 10085421221. The next prime is 10085421287. The reversal of 10085421240 is 4212458001.

10085421240 is a `hidden beast` number, since 100 + 8 + 542 + 12 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3667386 + ... + 3670134.

It is an arithmetic number, because the mean of its divisors is an integer number (136125000).

Almost surely, 2^10085421240 is an apocalyptic number.

10085421240 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 10085421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424000000).

10085421240 is an abundant number, since it is smaller than the sum of its proper divisors (24762578760).

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

10085421240 is a wasteful number, since it uses less digits than its factorization.

10085421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2881 counting only the distinct ones).

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

Adding to 10085421240 its reverse (4212458001), we get a palindrome (14297879241).

The spelling of 10085421240 in words is "ten billion, eighty-five million, four hundred twenty-one thousand, two hundred forty".