40327721280 has 1008 divisors, whose sum is σ = 178715968704. Its totient is φ = 8252375040.

The previous prime is 40327721267. The next prime is 40327721303. The reversal of 40327721280 is 8212772304.

40327721280 is a `hidden beast` number, since 40 + 327 + 7 + 212 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128842404 + ... + 128842716.

It is an arithmetic number, because the mean of its divisors is an integer number (177297588).

Almost surely, 2^40327721280 is an apocalyptic number.

40327721280 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 40327721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89357984352).

40327721280 is an abundant number, since it is smaller than the sum of its proper divisors (138388247424).

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

40327721280 is a wasteful number, since it uses less digits than its factorization.

40327721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 40327721280 in words is "forty billion, three hundred twenty-seven million, seven hundred twenty-one thousand, two hundred eighty".