247408208087040 has 9216 divisors, whose sum is σ = 1342672489267200. Its totient is φ = 40473062277120.

The previous prime is 247408208087003. The next prime is 247408208087081. The reversal of 247408208087040 is 40780802804742.

247408208087040 is a `hidden beast` number, since 2 + 47 + 408 + 2 + 0 + 80 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×247408208087040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 10756878612469 + ... + 10756878612491.

It is an arithmetic number, because the mean of its divisors is an integer number (145689289200).

Almost surely, 2^{247408208087040} is an apocalyptic number.

247408208087040 is a gapful number since it is divisible by the number (20) 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 247408208087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671336244633600).

247408208087040 is an abundant number, since it is smaller than the sum of its proper divisors (1095264281180160).

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

247408208087040 is a wasteful number, since it uses less digits than its factorization.

247408208087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 247408208087040 in words is "two hundred forty-seven trillion, four hundred eight billion, two hundred eight million, eighty-seven thousand, forty".