261445466400 has 72 divisors (see below), whose sum is σ = 851005000944. Its totient is φ = 69718790400.

The previous prime is 261445466371. The next prime is 261445466407. The reversal of 261445466400 is 4664544162.

It is a super-2 number, since 2×261445466400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261445466407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54465406 + ... + 54470205.

It is an arithmetic number, because the mean of its divisors is an integer number (11819513902).

Almost surely, 2^261445466400 is an apocalyptic number.

261445466400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261445466400 is an abundant number, since it is smaller than the sum of its proper divisors (589559534544).

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

261445466400 is a wasteful number, since it uses less digits than its factorization.

261445466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108935634 (or 108935621 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 261445466400 in words is "two hundred sixty-one billion, four hundred forty-five million, four hundred sixty-six thousand, four hundred".