261902366400 has 336 divisors, whose sum is σ = 867178108160. Its totient is φ = 69200179200.

The previous prime is 261902366359. The next prime is 261902366417. The reversal of 261902366400 is 4663209162.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423105291 + ... + 423105909.

Almost surely, 2^261902366400 is an apocalyptic number.

261902366400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261902366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433589054080).

261902366400 is an abundant number, since it is smaller than the sum of its proper divisors (605275741760).

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

261902366400 is a wasteful number, since it uses less digits than its factorization.

261902366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 261902366400 in words is "two hundred sixty-one billion, nine hundred two million, three hundred sixty-six thousand, four hundred".