1040348880 has 320 divisors, whose sum is σ = 3834040320. Its totient is φ = 258660864.

The previous prime is 1040348879. The next prime is 1040348917. The reversal of 1040348880 is 888430401.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2135997 + ... + 2136483.

It is an arithmetic number, because the mean of its divisors is an integer number (11981376).

Almost surely, 2^1040348880 is an apocalyptic number.

1040348880 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 1040348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917020160).

1040348880 is an abundant number, since it is smaller than the sum of its proper divisors (2793691440).

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

1040348880 is a wasteful number, since it uses less digits than its factorization.

1040348880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1040348880 is about 32254.4396944049. The cubic root of 1040348880 is about 1013.2726831583.

The spelling of 1040348880 in words is "one billion, forty million, three hundred forty-eight thousand, eight hundred eighty".