42637400 has 144 divisors (see below), whose sum is σ = 115200960. Its totient is φ = 14572800.

The previous prime is 42637391. The next prime is 42637409. The reversal of 42637400 is 473624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42637391) and next prime (42637409).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42637400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42637409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1375385 + ... + 1375415.

Almost surely, 2^42637400 is an apocalyptic number.

42637400 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 42637400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600480).

42637400 is an abundant number, since it is smaller than the sum of its proper divisors (72563560).

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

42637400 is a wasteful number, since it uses less digits than its factorization.

42637400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 42637400 is about 6529.7320006261. The cubic root of 42637400 is about 349.3522714063.

The spelling of 42637400 in words is "forty-two million, six hundred thirty-seven thousand, four hundred".