40727232000 has 1920 divisors, whose sum is σ = 193573860480. Its totient is φ = 8360755200.

The previous prime is 40727231983. The next prime is 40727232011. The reversal of 40727232000 is 23272704.

40727232000 is a `hidden beast` number, since 407 + 27 + 232 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1100735982 + ... + 1100736018.

It is an arithmetic number, because the mean of its divisors is an integer number (100819719).

Almost surely, 2^40727232000 is an apocalyptic number.

40727232000 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 40727232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96786930240).

40727232000 is an abundant number, since it is smaller than the sum of its proper divisors (152846628480).

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

40727232000 is a wasteful number, since it uses less digits than its factorization.

40727232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 40727232000 in words is "forty billion, seven hundred twenty-seven million, two hundred thirty-two thousand".