40739804160 has 352 divisors, whose sum is σ = 145641331584. Its totient is φ = 9633792000.

The previous prime is 40739804153. The next prime is 40739804219. The reversal of 40739804160 is 6140893704.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6924420 + ... + 6930300.

Almost surely, 2^40739804160 is an apocalyptic number.

40739804160 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 40739804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72820665792).

40739804160 is an abundant number, since it is smaller than the sum of its proper divisors (104901527424).

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

40739804160 is a wasteful number, since it uses less digits than its factorization.

40739804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 40739804160 in words is "forty billion, seven hundred thirty-nine million, eight hundred four thousand, one hundred sixty".