30041530727040 has 1152 divisors, whose sum is σ = 125593564936320. Its totient is φ = 6480879206400.

The previous prime is 30041530727003. The next prime is 30041530727093. The reversal of 30041530727040 is 4072703514003.

30041530727040 is a `hidden beast` number, since 3 + 0 + 0 + 41 + 5 + 307 + 270 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 30041530726986 and 30041530727004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4031875315 + ... + 4031882765.

It is an arithmetic number, because the mean of its divisors is an integer number (109022191785).

Almost surely, 2^{30041530727040} is an apocalyptic number.

30041530727040 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 30041530727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62796782468160).

30041530727040 is an abundant number, since it is smaller than the sum of its proper divisors (95552034209280).

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

30041530727040 is a wasteful number, since it uses less digits than its factorization.

30041530727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 30041530727040 in words is "thirty trillion, forty-one billion, five hundred thirty million, seven hundred twenty-seven thousand, forty".