412142042400 has 288 divisors, whose sum is σ = 1464656256000. Its totient is φ = 99832857600.

The previous prime is 412142042399. The next prime is 412142042437. The reversal of 412142042400 is 4240241214.

It is a super-2 number, since 2×412142042400² (a number of 24 digits) contains 22 as substring.

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

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, 36928021 + ... + 36939179.

It is an arithmetic number, because the mean of its divisors is an integer number (5085612000).

Almost surely, 2^412142042400 is an apocalyptic number.

412142042400 is a gapful number since it is divisible by the number (40) 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 412142042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732328128000).

412142042400 is an abundant number, since it is smaller than the sum of its proper divisors (1052514213600).

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

412142042400 is a wasteful number, since it uses less digits than its factorization.

412142042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 412142042400 its reverse (4240241214), we get a palindrome (416382283614).

The spelling of 412142042400 in words is "four hundred twelve billion, one hundred forty-two million, forty-two thousand, four hundred".