40014336768 has 288 divisors, whose sum is σ = 125081026560. Its totient is φ = 11120578560.

The previous prime is 40014336743. The next prime is 40014336833. The reversal of 40014336768 is 86763341004.

It is a happy number.

It is a super-2 number, since 2×40014336768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30153321 + ... + 30154647.

It is an arithmetic number, because the mean of its divisors is an integer number (434309120).

Almost surely, 2^40014336768 is an apocalyptic number.

40014336768 is a gapful number since it is divisible by the number (48) 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 40014336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62540513280).

40014336768 is an abundant number, since it is smaller than the sum of its proper divisors (85066689792).

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

40014336768 is a wasteful number, since it uses less digits than its factorization.

40014336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 40014336768 in words is "forty billion, fourteen million, three hundred thirty-six thousand, seven hundred sixty-eight".