30420735840 has 720 divisors, whose sum is σ = 124339667760. Its totient is φ = 6979737600.

The previous prime is 30420735823. The next prime is 30420735871. The reversal of 30420735840 is 4853702403.

It is a happy number.

30420735840 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 0 + 73 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 30420735795 and 30420735804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29794530 + ... + 29795550.

It is an arithmetic number, because the mean of its divisors is an integer number (172693983).

Almost surely, 2^30420735840 is an apocalyptic number.

30420735840 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 30420735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62169833880).

30420735840 is an abundant number, since it is smaller than the sum of its proper divisors (93918931920).

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

30420735840 is a wasteful number, since it uses less digits than its factorization.

30420735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 30420735840 in words is "thirty billion, four hundred twenty million, seven hundred thirty-five thousand, eight hundred forty".