261529430400 has 1152 divisors, whose sum is σ = 1154651097600. Its totient is φ = 57151733760.

The previous prime is 261529430389. The next prime is 261529430413. The reversal of 261529430400 is 4034925162.

It is a happy number.

261529430400 is a `hidden beast` number, since 2 + 61 + 5 + 294 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 125192556 + ... + 125194644.

It is an arithmetic number, because the mean of its divisors is an integer number (1002301300).

Almost surely, 2^261529430400 is an apocalyptic number.

261529430400 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 261529430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577325548800).

261529430400 is an abundant number, since it is smaller than the sum of its proper divisors (893121667200).

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

261529430400 is a wasteful number, since it uses less digits than its factorization.

261529430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 261529430400 in words is "two hundred sixty-one billion, five hundred twenty-nine million, four hundred thirty thousand, four hundred".