40744495680 has 336 divisors, whose sum is σ = 159339540096. Its totient is φ = 8765030400.

The previous prime is 40744495651. The next prime is 40744495711. The reversal of 40744495680 is 8659444704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40744495680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774205 + ... + 825155.

Almost surely, 2^40744495680 is an apocalyptic number.

40744495680 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 40744495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79669770048).

40744495680 is an abundant number, since it is smaller than the sum of its proper divisors (118595044416).

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

40744495680 is a wasteful number, since it uses less digits than its factorization.

40744495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51002 (or 50985 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 40744495680 in words is "forty billion, seven hundred forty-four million, four hundred ninety-five thousand, six hundred eighty".