27422097901440 has 1024 divisors, whose sum is σ = 100819560038400. Its totient is φ = 6279577436160.

The previous prime is 27422097901439. The next prime is 27422097901441. The reversal of 27422097901440 is 4410979022472.

It is an interprime number because it is at equal distance from previous prime (27422097901439) and next prime (27422097901441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27422097901441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4664412421 + ... + 4664418299.

It is an arithmetic number, because the mean of its divisors is an integer number (98456601600).

Almost surely, 2^{27422097901440} is an apocalyptic number.

27422097901440 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 27422097901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50409780019200).

27422097901440 is an abundant number, since it is smaller than the sum of its proper divisors (73397462136960).

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

27422097901440 is a wasteful number, since it uses less digits than its factorization.

27422097901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 27422097901440 in words is "twenty-seven trillion, four hundred twenty-two billion, ninety-seven million, nine hundred one thousand, four hundred forty".