30212241949440 has 432 divisors, whose sum is σ = 106214727816288. Its totient is φ = 7927123083264.

The previous prime is 30212241949427. The next prime is 30212241949501. The reversal of 30212241949440 is 4494914221203.

30212241949440 is a `hidden beast` number, since 3 + 0 + 2 + 12 + 2 + 4 + 194 + 9 + 440 = 666.

It is a super-2 number, since 2×30212241949440² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676881364 + ... + 676925996.

Almost surely, 2^{30212241949440} is an apocalyptic number.

30212241949440 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 30212241949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53107363908144).

30212241949440 is an abundant number, since it is smaller than the sum of its proper divisors (76002485866848).

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

30212241949440 is a wasteful number, since it uses less digits than its factorization.

30212241949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45604 (or 45587 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 30212241949440 in words is "thirty trillion, two hundred twelve billion, two hundred forty-one million, nine hundred forty-nine thousand, four hundred forty".