10420420243200 has 432 divisors, whose sum is σ = 37580239460736. Its totient is φ = 2521828966400.

The previous prime is 10420420243139. The next prime is 10420420243213. The reversal of 10420420243200 is 234202402401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123932374 + ... + 124016426.

It is an arithmetic number, because the mean of its divisors is an integer number (86991295048).

Almost surely, 2^{10420420243200} is an apocalyptic number.

10420420243200 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 10420420243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790119730368).

10420420243200 is an abundant number, since it is smaller than the sum of its proper divisors (27159819217536).

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

10420420243200 is a wasteful number, since it uses less digits than its factorization.

10420420243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84680 (or 84661 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10420420243200 its reverse (234202402401), we get a palindrome (10654622645601).

The spelling of 10420420243200 in words is "ten trillion, four hundred twenty billion, four hundred twenty million, two hundred forty-three thousand, two hundred".