1026113484480 has 672 divisors, whose sum is σ = 3973256146944. Its totient is φ = 223284289536.

The previous prime is 1026113484479. The next prime is 1026113484497. The reversal of 1026113484480 is 844843116201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241266034 + ... + 241270286.

It is an arithmetic number, because the mean of its divisors is an integer number (5912583552).

Almost surely, 2^{1026113484480} is an apocalyptic number.

1026113484480 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 1026113484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986628073472).

1026113484480 is an abundant number, since it is smaller than the sum of its proper divisors (2947142662464).

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

1026113484480 is a wasteful number, since it uses less digits than its factorization.

1026113484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 1026113484480 in words is "one trillion, twenty-six billion, one hundred thirteen million, four hundred eighty-four thousand, four hundred eighty".