1404401009261 has 16 divisors (see below), whose sum is σ = 1467473607600. Its totient is φ = 1342327085568.

The previous prime is 1404401009251. The next prime is 1404401009353. The reversal of 1404401009261 is 1629001044041.

It can be written as a sum of positive squares in 8 ways, for example, as 17353056361 + 1387047952900 = 131731^2 + 1177730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1404401009261 is a prime.

It is a super-2 number, since 2×1404401009261² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404401009251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331961 + ... + 3729713.

It is an arithmetic number, because the mean of its divisors is an integer number (91717100475).

Almost surely, 2^{1404401009261} is an apocalyptic number.

It is an amenable number.

1404401009261 is a deficient number, since it is larger than the sum of its proper divisors (63072598339).

1404401009261 is a wasteful number, since it uses less digits than its factorization.

1404401009261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399008.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 1404401009261 in words is "one trillion, four hundred four billion, four hundred one million, nine thousand, two hundred sixty-one".