1415748241440 has 576 divisors, whose sum is σ = 5515636744800. Its totient is φ = 327592968192.

The previous prime is 1415748241381. The next prime is 1415748241447. The reversal of 1415748241440 is 441428475141.

1415748241440 is a `hidden beast` number, since 1 + 4 + 1 + 574 + 8 + 24 + 14 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8763206544 + 1406985034896 = 93612^2 + 1186164^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1415748241447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321101956 + ... + 321106364.

Almost surely, 2^{1415748241440} is an apocalyptic number.

1415748241440 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 1415748241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757818372400).

1415748241440 is an abundant number, since it is smaller than the sum of its proper divisors (4099888503360).

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

1415748241440 is a wasteful number, since it uses less digits than its factorization.

1415748241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 1415748241440 in words is "one trillion, four hundred fifteen billion, seven hundred forty-eight million, two hundred forty-one thousand, four hundred forty".