1427805973440 has 2240 divisors, whose sum is σ = 6580337246208. Its totient is φ = 285310771200.

The previous prime is 1427805973423. The next prime is 1427805973459. The reversal of 1427805973440 is 443795087241.

1427805973440 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 8 + 0 + 597 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10899282175 + ... + 10899282305.

Almost surely, 2^{1427805973440} is an apocalyptic number.

1427805973440 is a gapful number since it is divisible by the number (10) 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 1427805973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290168623104).

1427805973440 is an abundant number, since it is smaller than the sum of its proper divisors (5152531272768).

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

1427805973440 is a wasteful number, since it uses less digits than its factorization.

1427805973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1427805973440 in words is "one trillion, four hundred twenty-seven billion, eight hundred five million, nine hundred seventy-three thousand, four hundred forty".