1026344407140 has 192 divisors, whose sum is σ = 3640968817920. Its totient is φ = 237777500160.

The previous prime is 1026344407093. The next prime is 1026344407223. The reversal of 1026344407140 is 417044436201.

1026344407140 is a `hidden beast` number, since 1 + 0 + 2 + 634 + 4 + 4 + 0 + 7 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1026344407095 and 1026344407104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4180746 + ... + 4419425.

It is an arithmetic number, because the mean of its divisors is an integer number (18963379260).

Almost surely, 2^{1026344407140} is an apocalyptic number.

1026344407140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026344407140 is an abundant number, since it is smaller than the sum of its proper divisors (2614624410780).

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

1026344407140 is a wasteful number, since it uses less digits than its factorization.

1026344407140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600219 (or 8600211 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1026344407140 in words is "one trillion, twenty-six billion, three hundred forty-four million, four hundred seven thousand, one hundred forty".