27951414212040 has 192 divisors, whose sum is σ = 92369460153600. Its totient is φ = 6761463582720.

The previous prime is 27951414212023. The next prime is 27951414212077. The reversal of 27951414212040 is 4021241415972.

It is a junction number, because it is equal to n+sod(n) for n = 27951414211983 and 27951414212001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4643896 + ... + 8801624.

It is an arithmetic number, because the mean of its divisors is an integer number (481090938300).

Almost surely, 2^{27951414212040} is an apocalyptic number.

27951414212040 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 27951414212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46184730076800).

27951414212040 is an abundant number, since it is smaller than the sum of its proper divisors (64418045941560).

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

27951414212040 is a wasteful number, since it uses less digits than its factorization.

27951414212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158228 (or 4158213 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 27951414212040 in words is "twenty-seven trillion, nine hundred fifty-one billion, four hundred fourteen million, two hundred twelve thousand, forty".