8740042880400 has 720 divisors, whose sum is σ = 33606000494976. Its totient is φ = 2090198753280.

The previous prime is 8740042880381. The next prime is 8740042880461. The reversal of 8740042880400 is 40882400478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228879709 + ... + 228917891.

Almost surely, 2^{8740042880400} is an apocalyptic number.

8740042880400 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 8740042880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803000247488).

8740042880400 is an abundant number, since it is smaller than the sum of its proper divisors (24865957614576).

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

8740042880400 is a wasteful number, since it uses less digits than its factorization.

8740042880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38360 (or 38346 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 8740042880400 in words is "eight trillion, seven hundred forty billion, forty-two million, eight hundred eighty thousand, four hundred".