42003214202400 has 288 divisors, whose sum is σ = 149381614464768. Its totient is φ = 10166757196800.

The previous prime is 42003214202387. The next prime is 42003214202407. The reversal of 42003214202400 is 420241230024.

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

It is not an unprimeable number, because it can be changed into a prime (42003214202407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15738007 + ... + 18212393.

It is an arithmetic number, because the mean of its divisors is an integer number (518686161336).

Almost surely, 2^{42003214202400} is an apocalyptic number.

42003214202400 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 42003214202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74690807232384).

42003214202400 is an abundant number, since it is smaller than the sum of its proper divisors (107378400262368).

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

42003214202400 is a wasteful number, since it uses less digits than its factorization.

42003214202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475064 (or 2475051 counting only the distinct ones).

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

Adding to 42003214202400 its reverse (420241230024), we get a palindrome (42423455432424).

The spelling of 42003214202400 in words is "forty-two trillion, three billion, two hundred fourteen million, two hundred two thousand, four hundred".