30160661040 has 400 divisors, whose sum is σ = 107348938752. Its totient is φ = 7846046208.

The previous prime is 30160661033. The next prime is 30160661057. The reversal of 30160661040 is 4016606103.

30160661040 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 0 + 6 + 610 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30160660995 and 30160661013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55138047 + ... + 55138593.

Almost surely, 2^30160661040 is an apocalyptic number.

30160661040 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 30160661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53674469376).

30160661040 is an abundant number, since it is smaller than the sum of its proper divisors (77188277712).

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

30160661040 is a wasteful number, since it uses less digits than its factorization.

30160661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30160661040 in words is "thirty billion, one hundred sixty million, six hundred sixty-one thousand, forty".