30026121776640 has 800 divisors, whose sum is σ = 121105643028480. Its totient is φ = 7044234854400.

The previous prime is 30026121776491. The next prime is 30026121776731. The reversal of 30026121776640 is 4667712162003.

30026121776640 is a `hidden beast` number, since 300 + 2 + 6 + 1 + 217 + 76 + 64 + 0 = 666.

It is a super-2 number, since 2×30026121776640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70497441 + ... + 70922079.

Almost surely, 2^{30026121776640} is an apocalyptic number.

30026121776640 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 30026121776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60552821514240).

30026121776640 is an abundant number, since it is smaller than the sum of its proper divisors (91079521251840).

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

30026121776640 is a wasteful number, since it uses less digits than its factorization.

30026121776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424716 (or 424691 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 30026121776640 in words is "thirty trillion, twenty-six billion, one hundred twenty-one million, seven hundred seventy-six thousand, six hundred forty".