40732876800 has 1512 divisors, whose sum is σ = 189672282072. Its totient is φ = 8257536000.

The previous prime is 40732876787. The next prime is 40732876859. The reversal of 40732876800 is 867823704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 993484780 + ... + 993484820.

It is an arithmetic number, because the mean of its divisors is an integer number (125444631).

Almost surely, 2^40732876800 is an apocalyptic number.

40732876800 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 40732876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94836141036).

40732876800 is an abundant number, since it is smaller than the sum of its proper divisors (148939405272).

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

40732876800 is a wasteful number, since it uses less digits than its factorization.

40732876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40732876800 in words is "forty billion, seven hundred thirty-two million, eight hundred seventy-six thousand, eight hundred".