42061400 has 96 divisors (see below), whose sum is σ = 105462000. Its totient is φ = 15544320.

The previous prime is 42061387. The next prime is 42061423. The reversal of 42061400 is 416024.

It is a super-2 number, since 2×42061400² = 3538322739920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302531 + ... + 302669.

Almost surely, 2^42061400 is an apocalyptic number.

42061400 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 42061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731000).

42061400 is an abundant number, since it is smaller than the sum of its proper divisors (63400600).

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

42061400 is a wasteful number, since it uses less digits than its factorization.

42061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42061400 is about 6485.4760812141. The cubic root of 42061400 is about 347.7719693431.

42061400 divided by its sum of digits (17) gives a triangular number (2474200 = T₂₂₂₄).

Adding to 42061400 its reverse (416024), we get a palindrome (42477424).

The spelling of 42061400 in words is "forty-two million, sixty-one thousand, four hundred".