1011978240 has 416 divisors, whose sum is σ = 4007168256. Its totient is φ = 212336640.

The previous prime is 1011978223. The next prime is 1011978271. The reversal of 1011978240 is 428791101.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590950 + ... + 5591130.

It is an arithmetic number, because the mean of its divisors is an integer number (9632616).

Almost surely, 2^1011978240 is an apocalyptic number.

1011978240 is a gapful number since it is divisible by the number (10) 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 1011978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003584128).

1011978240 is an abundant number, since it is smaller than the sum of its proper divisors (2995190016).

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

1011978240 is a wasteful number, since it uses less digits than its factorization.

1011978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1011978240 is about 31811.6054294655. The cubic root of 1011978240 is about 1003.9769098884.

The spelling of 1011978240 in words is "one billion, eleven million, nine hundred seventy-eight thousand, two hundred forty".