42122511210400 has 144 divisors (see below), whose sum is σ = 103306153483008. Its totient is φ = 16771265280000.

The previous prime is 42122511210341. The next prime is 42122511210413. The reversal of 42122511210400 is 401211522124.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2735042700 + ... + 2735058100.

It is an arithmetic number, because the mean of its divisors is an integer number (717403843632).

Almost surely, 2^{42122511210400} is an apocalyptic number.

42122511210400 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 42122511210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51653076741504).

42122511210400 is an abundant number, since it is smaller than the sum of its proper divisors (61183642272608).

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

42122511210400 is a wasteful number, since it uses less digits than its factorization.

42122511210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30975 (or 30962 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 42122511210400 its reverse (401211522124), we get a palindrome (42523722732524).

The spelling of 42122511210400 in words is "forty-two trillion, one hundred twenty-two billion, five hundred eleven million, two hundred ten thousand, four hundred".