40542600 has 192 divisors, whose sum is σ = 147312000. Its totient is φ = 9219840.

The previous prime is 40542589. The next prime is 40542611. The reversal of 40542600 is 624504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40542589) and next prime (40542611).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205702 + ... + 205898.

It is an arithmetic number, because the mean of its divisors is an integer number (767250).

Almost surely, 2^40542600 is an apocalyptic number.

40542600 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 40542600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

40542600 is an abundant number, since it is smaller than the sum of its proper divisors (106769400).

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

40542600 is a wasteful number, since it uses less digits than its factorization.

40542600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40542600 is about 6367.3071231094. The cubic root of 40542600 is about 343.5346375535.

The spelling of 40542600 in words is "forty million, five hundred forty-two thousand, six hundred".