27030407040 has 1152 divisors, whose sum is σ = 119993983200. Its totient is φ = 5555257344.

The previous prime is 27030407039. The next prime is 27030407059. The reversal of 27030407040 is 4070403072.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 27030406995 and 27030407013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194463291 + ... + 194463429.

Almost surely, 2^27030407040 is an apocalyptic number.

27030407040 is a gapful number since it is divisible by the number (20) 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 27030407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996991600).

27030407040 is an abundant number, since it is smaller than the sum of its proper divisors (92963576160).

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

27030407040 is a wasteful number, since it uses less digits than its factorization.

27030407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 27030407040 in words is "twenty-seven billion, thirty million, four hundred seven thousand, forty".