261214502400 has 720 divisors, whose sum is σ = 978106553424. Its totient is φ = 69035950080.

The previous prime is 261214502363. The next prime is 261214502443. The reversal of 261214502400 is 4205412162.

261214502400 is a `hidden beast` number, since 2 + 612 + 1 + 4 + 5 + 0 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 426124494 + ... + 426125106.

Almost surely, 2^261214502400 is an apocalyptic number.

261214502400 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 261214502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489053276712).

261214502400 is an abundant number, since it is smaller than the sum of its proper divisors (716892051024).

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

261214502400 is an equidigital number, since it uses as much as digits as its factorization.

261214502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 261214502400 its reverse (4205412162), we get a palindrome (265419914562).

The spelling of 261214502400 in words is "two hundred sixty-one billion, two hundred fourteen million, five hundred two thousand, four hundred".