306741605040 has 240 divisors, whose sum is σ = 1111043763648. Its totient is φ = 75392538624.

The previous prime is 306741605021. The next prime is 306741605041. The reversal of 306741605040 is 40506147603.

It is a happy number.

306741605040 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 4 + 1 + 605 + 0 + 40 = 666.

306741605040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 306741604986 and 306741605004.

It is not an unprimeable number, because it can be changed into a prime (306741605041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6312517 + ... + 6360923.

Almost surely, 2^306741605040 is an apocalyptic number.

306741605040 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 306741605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555521881824).

306741605040 is an abundant number, since it is smaller than the sum of its proper divisors (804302158608).

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

306741605040 is a wasteful number, since it uses less digits than its factorization.

306741605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49116 (or 49107 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 306741605040 in words is "three hundred six billion, seven hundred forty-one million, six hundred five thousand, forty".