42523214210400 has 864 divisors, whose sum is σ = 173970221693184. Its totient is φ = 8831116800000.

The previous prime is 42523214210381. The next prime is 42523214210461. The reversal of 42523214210400 is 401241232524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4575828154 + ... + 4575837446.

It is an arithmetic number, because the mean of its divisors is an integer number (201354423256).

Almost surely, 2^{42523214210400} is an apocalyptic number.

42523214210400 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 42523214210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86985110846592).

42523214210400 is an abundant number, since it is smaller than the sum of its proper divisors (131447007482784).

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

42523214210400 is a wasteful number, since it uses less digits than its factorization.

42523214210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11572 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 42523214210400 its reverse (401241232524), we get a palindrome (42924455442924).

The spelling of 42523214210400 in words is "forty-two trillion, five hundred twenty-three billion, two hundred fourteen million, two hundred ten thousand, four hundred".