1098725040 has 320 divisors, whose sum is σ = 4416384000. Its totient is φ = 250967808.

The previous prime is 1098725039. The next prime is 1098725051. The reversal of 1098725040 is 405278901.

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 = 1098724986 and 1098725004.

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, 740139 + ... + 741621.

It is an arithmetic number, because the mean of its divisors is an integer number (13801200).

Almost surely, 2^1098725040 is an apocalyptic number.

1098725040 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 1098725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208192000).

1098725040 is an abundant number, since it is smaller than the sum of its proper divisors (3317658960).

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

1098725040 is a wasteful number, since it uses less digits than its factorization.

1098725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1098725040 is about 33147.0215856568. The cubic root of 1098725040 is about 1031.8811382845.

The spelling of 1098725040 in words is "one billion, ninety-eight million, seven hundred twenty-five thousand, forty".