227412541440 has 1120 divisors, whose sum is σ = 990223898400. Its totient is φ = 48922361856.

The previous prime is 227412541397. The next prime is 227412541463. The reversal of 227412541440 is 44145214722.

227412541440 is a `hidden beast` number, since 2 + 2 + 74 + 1 + 2 + 541 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 227412541395 and 227412541404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13377208312 + ... + 13377208328.

Almost surely, 2^227412541440 is an apocalyptic number.

227412541440 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 227412541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495111949200).

227412541440 is an abundant number, since it is smaller than the sum of its proper divisors (762811356960).

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

227412541440 is an frugal number, since it uses more digits than its factorization.

227412541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 227412541440 in words is "two hundred twenty-seven billion, four hundred twelve million, five hundred forty-one thousand, four hundred forty".