260444264400 has 90 divisors (see below), whose sum is σ = 903813955590. Its totient is φ = 69451802880.

The previous prime is 260444264309. The next prime is 260444264419. The reversal of 260444264400 is 4462444062.

260444264400 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 4 + 4 + 2 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 87160896 + 260357103504 = 9336^2 + 510252^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36169215 + ... + 36176414.

Almost surely, 2^260444264400 is an apocalyptic number.

260444264400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260444264400 is an abundant number, since it is smaller than the sum of its proper divisors (643369691190).

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

260444264400 is a wasteful number, since it uses less digits than its factorization.

260444264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72345653 (or 72345639 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 260444264400 in words is "two hundred sixty billion, four hundred forty-four million, two hundred sixty-four thousand, four hundred".