42071400 has 360 divisors, whose sum is σ = 173183670. Its totient is φ = 9434880.

The previous prime is 42071399. The next prime is 42071461. The reversal of 42071400 is 417024.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35070084 + 7001316 = 5922^2 + 2646^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 793774 + ... + 793826.

Almost surely, 2^42071400 is an apocalyptic number.

42071400 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 42071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86591835).

42071400 is an abundant number, since it is smaller than the sum of its proper divisors (131112270).

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

42071400 is a wasteful number, since it uses less digits than its factorization.

42071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42071400 is about 6486.2469888218. The cubic root of 42071400 is about 347.7995278181.

Adding to 42071400 its reverse (417024), we get a palindrome (42488424).

The spelling of 42071400 in words is "forty-two million, seventy-one thousand, four hundred".