1427520257280 has 1728 divisors, whose sum is σ = 6153488490240. Its totient is φ = 313026674688.

The previous prime is 1427520257279. The next prime is 1427520257309. The reversal of 1427520257280 is 827520257241.

1427520257280 is a `hidden beast` number, since 1 + 4 + 2 + 75 + 2 + 0 + 2 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306056414 + ... + 1306057506.

It is an arithmetic number, because the mean of its divisors is an integer number (3561046580).

Almost surely, 2^{1427520257280} is an apocalyptic number.

1427520257280 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 1427520257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076744245120).

1427520257280 is an abundant number, since it is smaller than the sum of its proper divisors (4725968232960).

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

1427520257280 is a wasteful number, since it uses less digits than its factorization.

1427520257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 1427520257280 in words is "one trillion, four hundred twenty-seven billion, five hundred twenty million, two hundred fifty-seven thousand, two hundred eighty".