1426464587760 has 120 divisors (see below), whose sum is σ = 4466263954800. Its totient is φ = 376623667200.

The previous prime is 1426464587759. The next prime is 1426464587767. The reversal of 1426464587760 is 677854646241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1426464587694 and 1426464587703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426464587767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2156916 + ... + 2739564.

It is an arithmetic number, because the mean of its divisors is an integer number (37218866290).

Almost surely, 2^{1426464587760} is an apocalyptic number.

1426464587760 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 1426464587760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233131977400).

1426464587760 is an abundant number, since it is smaller than the sum of its proper divisors (3039799367040).

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

1426464587760 is a wasteful number, since it uses less digits than its factorization.

1426464587760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582867 (or 582760 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 1426464587760 in words is "one trillion, four hundred twenty-six billion, four hundred sixty-four million, five hundred eighty-seven thousand, seven hundred sixty".