1256505368430 has 128 divisors (see below), whose sum is σ = 3266093077632. Its totient is φ = 307532464128.

The previous prime is 1256505368389. The next prime is 1256505368431. The reversal of 1256505368430 is 348635056521.

It is a super-3 number, since 3×1256505368430³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1256505368430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256505368431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222269484 + ... + 222275136.

It is an arithmetic number, because the mean of its divisors is an integer number (25516352169).

Almost surely, 2^{1256505368430} is an apocalyptic number.

1256505368430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256505368430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633046538816).

1256505368430 is an abundant number, since it is smaller than the sum of its proper divisors (2009587709202).

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

1256505368430 is a wasteful number, since it uses less digits than its factorization.

1256505368430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 1256505368430 in words is "one trillion, two hundred fifty-six billion, five hundred five million, three hundred sixty-eight thousand, four hundred thirty".