1409676540804 has 297 divisors, whose sum is σ = 4316892928677. Its totient is φ = 401610672288.

The previous prime is 1409676540799. The next prime is 1409676540817. The reversal of 1409676540804 is 4080456769041.

The square root of 1409676540804 is 1187298.

It is a perfect power (a square), and thus also a powerful number.

1409676540804 is a `hidden beast` number, since 1 + 4 + 0 + 96 + 7 + 6 + 540 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1034691771204 + 374984769600 = 1017198^2 + 612360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 98 ways as a sum of consecutive naturals, for example, 4039187622 + ... + 4039187970.

Almost surely, 2^{1409676540804} is an apocalyptic number.

1409676540804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1409676540804 is the 1187298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409676540804

1409676540804 is an abundant number, since it is smaller than the sum of its proper divisors (2907216387873).

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

1409676540804 is an frugal number, since it uses more digits than its factorization.

1409676540804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1409676540804 in words is "one trillion, four hundred nine billion, six hundred seventy-six million, five hundred forty thousand, eight hundred four".