10424004444420 has 288 divisors, whose sum is σ = 36097143844608. Its totient is φ = 2236035529728.

The previous prime is 10424004444407. The next prime is 10424004444433. The reversal of 10424004444420 is 2444440042401.

It is an interprime number because it is at equal distance from previous prime (10424004444407) and next prime (10424004444433).

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, 2129562 + ... + 5038158.

It is an arithmetic number, because the mean of its divisors is an integer number (125337305016).

Almost surely, 2^{10424004444420} is an apocalyptic number.

10424004444420 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 10424004444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048571922304).

10424004444420 is an abundant number, since it is smaller than the sum of its proper divisors (25673139400188).

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

10424004444420 is a wasteful number, since it uses less digits than its factorization.

10424004444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908699 (or 2908690 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 10424004444420 its reverse (2444440042401), we get a palindrome (12868444486821).

The spelling of 10424004444420 in words is "ten trillion, four hundred twenty-four billion, four million, four hundred forty-four thousand, four hundred twenty".