30949017603840 has 1296 divisors, whose sum is σ = 131273454967200. Its totient is φ = 6693843566592.

The previous prime is 30949017603817. The next prime is 30949017603857. The reversal of 30949017603840 is 4830671094903.

It is a happy number.

30949017603840 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 90 + 176 + 0 + 384 + 0 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 17299617666 + ... + 17299619454.

Almost surely, 2^{30949017603840} is an apocalyptic number.

30949017603840 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 30949017603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65636727483600).

30949017603840 is an abundant number, since it is smaller than the sum of its proper divisors (100324437363360).

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

30949017603840 is a wasteful number, since it uses less digits than its factorization.

30949017603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 30949017603840 in words is "thirty trillion, nine hundred forty-nine billion, seventeen million, six hundred three thousand, eight hundred forty".