1481239837440 has 2304 divisors, whose sum is σ = 6299261337600. Its totient is φ = 326069452800.

The previous prime is 1481239837423. The next prime is 1481239837459. The reversal of 1481239837440 is 447389321841.

1481239837440 is a `hidden beast` number, since 1 + 4 + 81 + 2 + 3 + 98 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18749871321 + ... + 18749871399.

It is an arithmetic number, because the mean of its divisors is an integer number (2734054400).

Almost surely, 2^{1481239837440} is an apocalyptic number.

1481239837440 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 1481239837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149630668800).

1481239837440 is an abundant number, since it is smaller than the sum of its proper divisors (4818021500160).

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

1481239837440 is a wasteful number, since it uses less digits than its factorization.

1481239837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1481239837440 in words is "one trillion, four hundred eighty-one billion, two hundred thirty-nine million, eight hundred thirty-seven thousand, four hundred forty".