40781452800 has 720 divisors, whose sum is σ = 151436932416. Its totient is φ = 9664512000.

The previous prime is 40781452741. The next prime is 40781452823. The reversal of 40781452800 is 825418704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311308735 + ... + 311308865.

Almost surely, 2^40781452800 is an apocalyptic number.

40781452800 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 40781452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75718466208).

40781452800 is an abundant number, since it is smaller than the sum of its proper divisors (110655479616).

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

40781452800 is a wasteful number, since it uses less digits than its factorization.

40781452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 40781452800 in words is "forty billion, seven hundred eighty-one million, four hundred fifty-two thousand, eight hundred".