8040076364400 has 240 divisors, whose sum is σ = 26723833252704. Its totient is φ = 2064566845440.

The previous prime is 8040076364377. The next prime is 8040076364401. The reversal of 8040076364400 is 44636700408.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040076364401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3373384 + ... + 5240216.

Almost surely, 2^{8040076364400} is an apocalyptic number.

8040076364400 is a gapful number since it is divisible by the number (80) 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 8040076364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361916626352).

8040076364400 is an abundant number, since it is smaller than the sum of its proper divisors (18683756888304).

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

8040076364400 is a wasteful number, since it uses less digits than its factorization.

8040076364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866988 (or 1866977 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 8040076364400 in words is "eight trillion, forty billion, seventy-six million, three hundred sixty-four thousand, four hundred".