30390026494464 has 1920 divisors, whose sum is σ = 120438991411200. Its totient is φ = 7477023375360.

The previous prime is 30390026494459. The next prime is 30390026494489. The reversal of 30390026494464 is 46449462009303.

It is a happy number.

30390026494464 is a `hidden beast` number, since 3 + 0 + 3 + 90 + 0 + 2 + 6 + 4 + 94 + 464 = 666.

It is a super-3 number, since 3×30390026494464³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30390026494464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11209894069 + ... + 11209896779.

It is an arithmetic number, because the mean of its divisors is an integer number (62728641360).

Almost surely, 2^{30390026494464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30390026494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60219495705600).

30390026494464 is an abundant number, since it is smaller than the sum of its proper divisors (90048964916736).

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

30390026494464 is a wasteful number, since it uses less digits than its factorization.

30390026494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 30390026494464 in words is "thirty trillion, three hundred ninety billion, twenty-six million, four hundred ninety-four thousand, four hundred sixty-four".