1481639040 has 384 divisors, whose sum is σ = 6068200320. Its totient is φ = 338411520.

The previous prime is 1481638997. The next prime is 1481639051. The reversal of 1481639040 is 409361841.

1481639040 is a `hidden beast` number, since 14 + 8 + 1 + 639 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1481638986 and 1481639004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087960 + ... + 1089320.

It is an arithmetic number, because the mean of its divisors is an integer number (15802605).

Almost surely, 2^1481639040 is an apocalyptic number.

1481639040 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 1481639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034100160).

1481639040 is an abundant number, since it is smaller than the sum of its proper divisors (4586561280).

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

1481639040 is an equidigital number, since it uses as much as digits as its factorization.

1481639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1481639040 is about 38492.0646367534. The cubic root of 1481639040 is about 1140.0243762101.

The spelling of 1481639040 in words is "one billion, four hundred eighty-one million, six hundred thirty-nine thousand, forty".