40987749600 has 720 divisors, whose sum is σ = 172603015200. Its totient is φ = 9271480320.

The previous prime is 40987749571. The next prime is 40987749643. The reversal of 40987749600 is 694778904.

It is a happy number.

40987749600 is a `hidden beast` number, since 409 + 87 + 74 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49441986 + ... + 49442814.

It is an arithmetic number, because the mean of its divisors is an integer number (239726410).

Almost surely, 2^40987749600 is an apocalyptic number.

40987749600 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 40987749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301507600).

40987749600 is an abundant number, since it is smaller than the sum of its proper divisors (131615265600).

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

40987749600 is a wasteful number, since it uses less digits than its factorization.

40987749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40987749600 in words is "forty billion, nine hundred eighty-seven million, seven hundred forty-nine thousand, six hundred".