40709979576 has 192 divisors, whose sum is σ = 138406694400. Its totient is φ = 10540088064.

The previous prime is 40709979547. The next prime is 40709979643. The reversal of 40709979576 is 67597990704.

40709979576 is a `hidden beast` number, since 407 + 0 + 99 + 79 + 5 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 127830 + ... + 312666.

It is an arithmetic number, because the mean of its divisors is an integer number (720868200).

Almost surely, 2^40709979576 is an apocalyptic number.

40709979576 is a gapful number since it is divisible by the number (46) 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 40709979576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69203347200).

40709979576 is an abundant number, since it is smaller than the sum of its proper divisors (97696714824).

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

40709979576 is a wasteful number, since it uses less digits than its factorization.

40709979576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184898 (or 184891 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 40709979576 in words is "forty billion, seven hundred nine million, nine hundred seventy-nine thousand, five hundred seventy-six".