42010214400 has 1224 divisors, whose sum is σ = 192693244224. Its totient is φ = 8493465600.

The previous prime is 42010214387. The next prime is 42010214419. The reversal of 42010214400 is 441201024.

42010214400 is a `hidden beast` number, since 4 + 201 + 0 + 21 + 440 + 0 = 666.

It is a super-2 number, since 2×42010214400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1135411182 + ... + 1135411218.

Almost surely, 2^42010214400 is an apocalyptic number.

42010214400 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 42010214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96346622112).

42010214400 is an abundant number, since it is smaller than the sum of its proper divisors (150683029824).

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

42010214400 is a wasteful number, since it uses less digits than its factorization.

42010214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42010214400 its reverse (441201024), we get a palindrome (42451415424).

The spelling of 42010214400 in words is "forty-two billion, ten million, two hundred fourteen thousand, four hundred".