10042220420400 has 240 divisors, whose sum is σ = 36916646294528. Its totient is φ = 2285839872000.

The previous prime is 10042220420341. The next prime is 10042220420429. The reversal of 10042220420400 is 402402224001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 455896 + ... + 4504695.

Almost surely, 2^{10042220420400} is an apocalyptic number.

10042220420400 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 10042220420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458323147264).

10042220420400 is an abundant number, since it is smaller than the sum of its proper divisors (26874425874128).

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

10042220420400 is a wasteful number, since it uses less digits than its factorization.

10042220420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960860 (or 4960849 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10042220420400 its reverse (402402224001), we get a palindrome (10444622644401).

The spelling of 10042220420400 in words is "ten trillion, forty-two billion, two hundred twenty million, four hundred twenty thousand, four hundred".