803037821040 has 1920 divisors, whose sum is σ = 3643206819840. Its totient is φ = 160944537600.

The previous prime is 803037821017. The next prime is 803037821051. The reversal of 803037821040 is 40128730308.

803037821040 is a `hidden beast` number, since 8 + 0 + 30 + 378 + 210 + 40 = 666.

803037821040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 803037820986 and 803037821004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2857785700 + ... + 2857785980.

It is an arithmetic number, because the mean of its divisors is an integer number (1897503552).

Almost surely, 2^803037821040 is an apocalyptic number.

803037821040 is a gapful number since it is divisible by the number (80) 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 803037821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821603409920).

803037821040 is an abundant number, since it is smaller than the sum of its proper divisors (2840168998800).

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

803037821040 is a wasteful number, since it uses less digits than its factorization.

803037821040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 803037821040 in words is "eight hundred three billion, thirty-seven million, eight hundred twenty-one thousand, forty".