10212242626404 has 288 divisors, whose sum is σ = 32166020001024. Its totient is φ = 2659911644160.

The previous prime is 10212242626363. The next prime is 10212242626441. The reversal of 10212242626404 is 40462624221201.

10212242626404 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 4 + 2 + 6 + 2 + 640 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015027534 + ... + 1015037594.

It is an arithmetic number, because the mean of its divisors is an integer number (111687569448).

Almost surely, 2^{10212242626404} is an apocalyptic number.

10212242626404 is a gapful number since it is divisible by the number (14) 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 10212242626404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083010000512).

10212242626404 is an abundant number, since it is smaller than the sum of its proper divisors (21953777374620).

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

10212242626404 is a wasteful number, since it uses less digits than its factorization.

10212242626404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13907 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 10212242626404 its reverse (40462624221201), we get a palindrome (50674866847605).

The spelling of 10212242626404 in words is "ten trillion, two hundred twelve billion, two hundred forty-two million, six hundred twenty-six thousand, four hundred four".