1234049040 has 320 divisors, whose sum is σ = 5144670720. Its totient is φ = 265420800.

The previous prime is 1234048997. The next prime is 1234049053. The reversal of 1234049040 is 409404321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1234048995 and 1234049013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254640 + ... + 259440.

It is an arithmetic number, because the mean of its divisors is an integer number (16077096).

Almost surely, 2^1234049040 is an apocalyptic number.

1234049040 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 1234049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572335360).

1234049040 is an abundant number, since it is smaller than the sum of its proper divisors (3910621680).

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

1234049040 is a wasteful number, since it uses less digits than its factorization.

1234049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1234049040 is about 35129.0341455611. The cubic root of 1234049040 is about 1072.6156753320.

The spelling of 1234049040 in words is "one billion, two hundred thirty-four million, forty-nine thousand, forty".