40547727360 has 1152 divisors, whose sum is σ = 174108916800. Its totient is φ = 8918138880.

The previous prime is 40547727359. The next prime is 40547727377. The reversal of 40547727360 is 6372774504.

40547727360 is a `hidden beast` number, since 4 + 0 + 547 + 72 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555448284 + ... + 555448356.

Almost surely, 2^40547727360 is an apocalyptic number.

40547727360 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 40547727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87054458400).

40547727360 is an abundant number, since it is smaller than the sum of its proper divisors (133561189440).

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

40547727360 is a wasteful number, since it uses less digits than its factorization.

40547727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 40547727360 in words is "forty billion, five hundred forty-seven million, seven hundred twenty-seven thousand, three hundred sixty".