39968454240 has 1536 divisors, whose sum is σ = 179233689600. Its totient is φ = 8174960640.

The previous prime is 39968454223. The next prime is 39968454247. The reversal of 39968454240 is 4245486993.

39968454240 is a `hidden beast` number, since 3 + 9 + 96 + 8 + 4 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39968454247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 412045872 + ... + 412045968.

It is an arithmetic number, because the mean of its divisors is an integer number (116688600).

Almost surely, 2^39968454240 is an apocalyptic number.

39968454240 is a gapful number since it is divisible by the number (30) 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 39968454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89616844800).

39968454240 is an abundant number, since it is smaller than the sum of its proper divisors (139265235360).

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

39968454240 is a wasteful number, since it uses less digits than its factorization.

39968454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 39968454240 in words is "thirty-nine billion, nine hundred sixty-eight million, four hundred fifty-four thousand, two hundred forty".