147411411840 has 2560 divisors, whose sum is σ = 740539584000. Its totient is φ = 27311800320.

The previous prime is 147411411809. The next prime is 147411411841. The reversal of 147411411840 is 48114114741.

147411411840 is a `hidden beast` number, since 1 + 474 + 1 + 1 + 4 + 1 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147411411795 and 147411411804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147411411841) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7758495351 + ... + 7758495369.

It is an arithmetic number, because the mean of its divisors is an integer number (289273275).

Almost surely, 2^147411411840 is an apocalyptic number.

147411411840 is a gapful number since it is divisible by the number (10) 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 147411411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370269792000).

147411411840 is an abundant number, since it is smaller than the sum of its proper divisors (593128172160).

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

147411411840 is a wasteful number, since it uses less digits than its factorization.

147411411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 147411411840 in words is "one hundred forty-seven billion, four hundred eleven million, four hundred eleven thousand, eight hundred forty".