9778411440 has 480 divisors, whose sum is σ = 38997504000. Its totient is φ = 2149355520.

The previous prime is 9778411417. The next prime is 9778411451. The reversal of 9778411440 is 441148779.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16324261 + ... + 16324859.

It is an arithmetic number, because the mean of its divisors is an integer number (81244800).

Almost surely, 2^9778411440 is an apocalyptic number.

9778411440 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 9778411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752000).

9778411440 is an abundant number, since it is smaller than the sum of its proper divisors (29219092560).

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

9778411440 is a wasteful number, since it uses less digits than its factorization.

9778411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 9778411440 is about 98885.8505550718. The cubic root of 9778411440 is about 2138.4024120296.

The spelling of 9778411440 in words is "nine billion, seven hundred seventy-eight million, four hundred eleven thousand, four hundred forty".