1405487948480 has 1008 divisors, whose sum is σ = 4554829762560. Its totient is φ = 410408570880.

The previous prime is 1405487948443. The next prime is 1405487948483. The reversal of 1405487948480 is 848497845041.

It is not an unprimeable number, because it can be changed into a prime (1405487948483) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4578136487 + ... + 4578136793.

It is an arithmetic number, because the mean of its divisors is an integer number (4518680320).

Almost surely, 2^{1405487948480} is an apocalyptic number.

1405487948480 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 1405487948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277414881280).

1405487948480 is an abundant number, since it is smaller than the sum of its proper divisors (3149341814080).

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

1405487948480 is a wasteful number, since it uses less digits than its factorization.

1405487948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 62.

The spelling of 1405487948480 in words is "one trillion, four hundred five billion, four hundred eighty-seven million, nine hundred forty-eight thousand, four hundred eighty".