1481933040 has 80 divisors (see below), whose sum is σ = 5250283008. Its totient is φ = 338727168.

The previous prime is 1481933029. The next prime is 1481933041. The reversal of 1481933040 is 403391841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1481933040² = 4392251070087283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1481932992 and 1481933010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481933041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439372 + ... + 442731.

Almost surely, 2^1481933040 is an apocalyptic number.

1481933040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1481933040 is an abundant number, since it is smaller than the sum of its proper divisors (3768349968).

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

1481933040 is a wasteful number, since it uses less digits than its factorization.

1481933040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882126 (or 882120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1481933040 is about 38495.8834162823. The cubic root of 1481933040 is about 1140.0997758162.

The spelling of 1481933040 in words is "one billion, four hundred eighty-one million, nine hundred thirty-three thousand, forty".