27026429040 has 120 divisors (see below), whose sum is σ = 97745618880. Its totient is φ = 6652657152.

The previous prime is 27026429039. The next prime is 27026429047. The reversal of 27026429040 is 4092462072.

27026429040 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 642 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×27026429040³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27026428986 and 27026429004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27026429047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1434360 + ... + 1453079.

It is an arithmetic number, because the mean of its divisors is an integer number (814546824).

Almost surely, 2^27026429040 is an apocalyptic number.

27026429040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27026429040 is an abundant number, since it is smaller than the sum of its proper divisors (70719189840).

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

27026429040 is a wasteful number, since it uses less digits than its factorization.

27026429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887471 (or 2887462 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27026429040 in words is "twenty-seven billion, twenty-six million, four hundred twenty-nine thousand, forty".