40546504800 has 288 divisors, whose sum is σ = 149052022560. Its totient is φ = 10634803200.

The previous prime is 40546504787. The next prime is 40546504807. The reversal of 40546504800 is 840564504.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40546504807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302214 + ... + 1332986.

It is an arithmetic number, because the mean of its divisors is an integer number (517541745).

Almost surely, 2^40546504800 is an apocalyptic number.

40546504800 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 40546504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74526011280).

40546504800 is an abundant number, since it is smaller than the sum of its proper divisors (108505517760).

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

40546504800 is a wasteful number, since it uses less digits than its factorization.

40546504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30863 (or 30844 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40546504800 in words is "forty billion, five hundred forty-six million, five hundred four thousand, eight hundred".