40771632000 has 512 divisors, whose sum is σ = 151502607360. Its totient is φ = 9612288000.

The previous prime is 40771631987. The next prime is 40771632017. The reversal of 40771632000 is 23617704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19534957 + ... + 19537043.

It is an arithmetic number, because the mean of its divisors is an integer number (295903530).

Almost surely, 2^40771632000 is an apocalyptic number.

40771632000 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 40771632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75751303680).

40771632000 is an abundant number, since it is smaller than the sum of its proper divisors (110730975360).

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

40771632000 is a wasteful number, since it uses less digits than its factorization.

40771632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 40771632000 in words is "forty billion, seven hundred seventy-one million, six hundred thirty-two thousand".