40742044200 has 960 divisors, whose sum is σ = 170523460800. Its totient is φ = 8883302400.

The previous prime is 40742044199. The next prime is 40742044207. The reversal of 40742044200 is 244024704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40742044207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 99613596 + ... + 99614004.

It is an arithmetic number, because the mean of its divisors is an integer number (177628605).

Almost surely, 2^40742044200 is an apocalyptic number.

40742044200 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 40742044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85261730400).

40742044200 is an abundant number, since it is smaller than the sum of its proper divisors (129781416600).

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

40742044200 is a wasteful number, since it uses less digits than its factorization.

40742044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

Adding to 40742044200 its reverse (244024704), we get a palindrome (40986068904).

The spelling of 40742044200 in words is "forty billion, seven hundred forty-two million, forty-four thousand, two hundred".