9761412240 has 240 divisors, whose sum is σ = 35231459328. Its totient is φ = 2413154304.

The previous prime is 9761412239. The next prime is 9761412247. The reversal of 9761412240 is 422141679.

It is a happy number.

9761412240 is a `hidden beast` number, since 9 + 7 + 614 + 12 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9761412195 and 9761412204.

It is not an unprimeable number, because it can be changed into a prime (9761412247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814129 + ... + 826031.

Almost surely, 2^9761412240 is an apocalyptic number.

9761412240 is a gapful number since it is divisible by the number (90) 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 9761412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615729664).

9761412240 is an abundant number, since it is smaller than the sum of its proper divisors (25470047088).

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

9761412240 is a wasteful number, since it uses less digits than its factorization.

9761412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12006 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9761412240 is about 98799.8595140702. The cubic root of 9761412240 is about 2137.1625304923.

The spelling of 9761412240 in words is "nine billion, seven hundred sixty-one million, four hundred twelve thousand, two hundred forty".