261347413040 has 80 divisors (see below), whose sum is σ = 718383574080. Its totient is φ = 86515000320.

The previous prime is 261347413037. The next prime is 261347413051. The reversal of 261347413040 is 40314743162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8030171 + ... + 8062650.

It is an arithmetic number, because the mean of its divisors is an integer number (8979794676).

Almost surely, 2^261347413040 is an apocalyptic number.

261347413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261347413040 is an abundant number, since it is smaller than the sum of its proper divisors (457036161040).

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

261347413040 is a wasteful number, since it uses less digits than its factorization.

261347413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16092870 (or 16092864 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 261347413040 in words is "two hundred sixty-one billion, three hundred forty-seven million, four hundred thirteen thousand, forty".