30263337221040 has 3840 divisors, whose sum is σ = 153890150400000. Its totient is φ = 5361752309760.

The previous prime is 30263337220999. The next prime is 30263337221053. The reversal of 30263337221040 is 4012273336203.

30263337221040 is a `hidden beast` number, since 3 + 0 + 2 + 6 + 33 + 372 + 210 + 40 = 666.

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 = 30263337220986 and 30263337221004.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8649137211 + ... + 8649140709.

It is an arithmetic number, because the mean of its divisors is an integer number (40075560000).

Almost surely, 2^{30263337221040} is an apocalyptic number.

30263337221040 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 30263337221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76945075200000).

30263337221040 is an abundant number, since it is smaller than the sum of its proper divisors (123626813178960).

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

30263337221040 is a wasteful number, since it uses less digits than its factorization.

30263337221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 30263337221040 in words is "thirty trillion, two hundred sixty-three billion, three hundred thirty-seven million, two hundred twenty-one thousand, forty".