1084314443040 has 72 divisors (see below), whose sum is σ = 3700223041788. Its totient is φ = 289150517760.

The previous prime is 1084314442969. The next prime is 1084314443071. The reversal of 1084314443040 is 403444134801.

1084314443040 is a `hidden beast` number, since 1 + 0 + 8 + 43 + 144 + 430 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1063761206544 + 20553236496 = 1031388^2 + 143364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1084314443040² (a number of 25 digits) contains 22 as substring.

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 = 1084314442986 and 1084314443004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376496631 + ... + 376499510.

Almost surely, 2^{1084314443040} is an apocalyptic number.

1084314443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1084314443040 is an abundant number, since it is smaller than the sum of its proper divisors (2615908598748).

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

1084314443040 is a wasteful number, since it uses less digits than its factorization.

1084314443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752996162 (or 752996151 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 1084314443040 its reverse (403444134801), we get a palindrome (1487758577841).

The spelling of 1084314443040 in words is "one trillion, eighty-four billion, three hundred fourteen million, four hundred forty-three thousand, forty".