40078347264 has 176 divisors, whose sum is σ = 118913341440. Its totient is φ = 13334630400.

The previous prime is 40078347227. The next prime is 40078347269. The reversal of 40078347264 is 46274387004.

40078347264 is a `hidden beast` number, since 40 + 0 + 7 + 8 + 347 + 264 = 666.

It is not an unprimeable number, because it can be changed into a prime (40078347269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20541489 + ... + 20543439.

Almost surely, 2^40078347264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40078347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59456670720).

40078347264 is an abundant number, since it is smaller than the sum of its proper divisors (78834994176).

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

40078347264 is a wasteful number, since it uses less digits than its factorization.

40078347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40078347264 in words is "forty billion, seventy-eight million, three hundred forty-seven thousand, two hundred sixty-four".