1146839040 has 448 divisors, whose sum is σ = 4388022720. Its totient is φ = 283115520.

The previous prime is 1146839027. The next prime is 1146839053. The reversal of 1146839040 is 409386411.

It is an interprime number because it is at equal distance from previous prime (1146839027) and next prime (1146839053).

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 = 1146838986 and 1146839004.

It is a congruent number.

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, 18800610 + ... + 18800670.

Almost surely, 2^1146839040 is an apocalyptic number.

1146839040 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 1146839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194011360).

1146839040 is an abundant number, since it is smaller than the sum of its proper divisors (3241183680).

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

1146839040 is an equidigital number, since it uses as much as digits as its factorization.

1146839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1146839040 is about 33865.0120330704. The cubic root of 1146839040 is about 1046.7287579070.

The spelling of 1146839040 in words is "one billion, one hundred forty-six million, eight hundred thirty-nine thousand, forty".