10042401420 has 72 divisors (see below), whose sum is σ = 31204948320. Its totient is φ = 2612655360.

The previous prime is 10042401409. The next prime is 10042401431. The reversal of 10042401420 is 2410424001.

10042401420 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 240 + 1 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (10042401409) and next prime (10042401431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10042401393 and 10042401402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673000 + ... + 687759.

It is an arithmetic number, because the mean of its divisors is an integer number (433402060).

Almost surely, 2^10042401420 is an apocalyptic number.

10042401420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042401420 is an abundant number, since it is smaller than the sum of its proper divisors (21162546900).

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

10042401420 is a wasteful number, since it uses less digits than its factorization.

10042401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360815 (or 1360810 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10042401420 its reverse (2410424001), we get a palindrome (12452825421).

The spelling of 10042401420 in words is "ten billion, forty-two million, four hundred one thousand, four hundred twenty".