10424214300420 has 72 divisors (see below), whose sum is σ = 31620551750424. Its totient is φ = 2779752235008.

The previous prime is 10424214300413. The next prime is 10424214300427. The reversal of 10424214300420 is 2400341242401.

10424214300420 is a `hidden beast` number, since 1 + 0 + 4 + 24 + 214 + 3 + 0 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (10424214300413) and next prime (10424214300427).

It can be written as a sum of positive squares in 4 ways, for example, as 1555527795264 + 8868686505156 = 1247208^2 + 2978034^2 .

It is not an unprimeable number, because it can be changed into a prime (10424214300427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14203522 + ... + 14919398.

It is an arithmetic number, because the mean of its divisors is an integer number (439174329867).

Almost surely, 2^{10424214300420} is an apocalyptic number.

10424214300420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424214300420 is an abundant number, since it is smaller than the sum of its proper divisors (21196337450004).

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

10424214300420 is a wasteful number, since it uses less digits than its factorization.

10424214300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796789 (or 796784 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10424214300420 its reverse (2400341242401), we get a palindrome (12824555542821).

The spelling of 10424214300420 in words is "ten trillion, four hundred twenty-four billion, two hundred fourteen million, three hundred thousand, four hundred twenty".