1024799040 has 392 divisors, whose sum is σ = 3837846528. Its totient is φ = 260029440.

The previous prime is 1024799021. The next prime is 1024799047. The reversal of 1024799040 is 409974201.

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 = 1024798986 and 1024799004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024799047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5365345 + ... + 5365535.

Almost surely, 2^1024799040 is an apocalyptic number.

1024799040 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 1024799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918923264).

1024799040 is an abundant number, since it is smaller than the sum of its proper divisors (2813047488).

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

1024799040 is an equidigital number, since it uses as much as digits as its factorization.

1024799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1024799040 is about 32012.4825653994. The cubic root of 1024799040 is about 1008.1989403261.

The spelling of 1024799040 in words is "one billion, twenty-four million, seven hundred ninety-nine thousand, forty".