30090640638240 has 576 divisors, whose sum is σ = 130457504765952. Its totient is φ = 6143993856000.

The previous prime is 30090640638239. The next prime is 30090640638277. The reversal of 30090640638240 is 4283604609003.

30090640638240 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 0 + 6 + 4 + 0 + 638 + 2 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358540 + ... + 7765940.

It is an arithmetic number, because the mean of its divisors is an integer number (226488723552).

Almost surely, 2^{30090640638240} is an apocalyptic number.

30090640638240 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 30090640638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65228752382976).

30090640638240 is an abundant number, since it is smaller than the sum of its proper divisors (100366864127712).

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

30090640638240 is a wasteful number, since it uses less digits than its factorization.

30090640638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407473 (or 7407462 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

It can be divided in two parts, 30090640 and 638240, that added together give a triangular number (30728880 = T₇₈₃₉).

The spelling of 30090640638240 in words is "thirty trillion, ninety billion, six hundred forty million, six hundred thirty-eight thousand, two hundred forty".