10420022400000 has 264 divisors, whose sum is σ = 34714258457760. Its totient is φ = 2778670080000.

The previous prime is 10420022399993. The next prime is 10420022400101. The reversal of 10420022400000 is 422002401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 9057291 + ... + 10142709.

Almost surely, 2^{10420022400000} is an apocalyptic number.

10420022400000 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 10420022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357129228880).

10420022400000 is an abundant number, since it is smaller than the sum of its proper divisors (24294236057760).

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

10420022400000 is an frugal number, since it uses more digits than its factorization.

10420022400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085467 (or 1085429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10420022400000 its reverse (422002401), we get a palindrome (10420444402401).

The spelling of 10420022400000 in words is "ten trillion, four hundred twenty billion, twenty-two million, four hundred thousand".