30441415553640 has 1024 divisors, whose sum is σ = 132454722355200. Its totient is φ = 6042810470400.

The previous prime is 30441415553629. The next prime is 30441415553699. The reversal of 30441415553640 is 4635551414403.

30441415553640 is a `hidden beast` number, since 3 + 0 + 4 + 41 + 4 + 15 + 553 + 6 + 40 = 666.

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 255 ways as a sum of consecutive naturals, for example, 137776455 + ... + 137997225.

It is an arithmetic number, because the mean of its divisors is an integer number (129350314800).

Almost surely, 2^{30441415553640} is an apocalyptic number.

30441415553640 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 30441415553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66227361177600).

30441415553640 is an abundant number, since it is smaller than the sum of its proper divisors (102013306801560).

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

30441415553640 is a wasteful number, since it uses less digits than its factorization.

30441415553640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220895 (or 220885 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 30441415553640 in words is "thirty trillion, four hundred forty-one billion, four hundred fifteen million, five hundred fifty-three thousand, six hundred forty".