30047348733840 has 960 divisors, whose sum is σ = 111907549458432. Its totient is φ = 7480785715200.

The previous prime is 30047348733833. The next prime is 30047348733869. The reversal of 30047348733840 is 4833784374003.

It is a happy number.

30047348733840 is a `hidden beast` number, since 30 + 0 + 473 + 4 + 8 + 73 + 38 + 40 = 666.

It is a super-2 number, since 2×30047348733840² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1798910929 + ... + 1798927631.

Almost surely, 2^{30047348733840} is an apocalyptic number.

30047348733840 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 30047348733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55953774729216).

30047348733840 is an abundant number, since it is smaller than the sum of its proper divisors (81860200724592).

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

30047348733840 is a wasteful number, since it uses less digits than its factorization.

30047348733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16852 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 30047348733840 in words is "thirty trillion, forty-seven billion, three hundred forty-eight million, seven hundred thirty-three thousand, eight hundred forty".