1480967850240 has 288 divisors, whose sum is σ = 5265888848640. Its totient is φ = 394134994944.

The previous prime is 1480967850223. The next prime is 1480967850247. The reversal of 1480967850240 is 420587690841.

It is a happy number.

1480967850240 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 96 + 7 + 8 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1480967850240³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1480967850247) 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 31 ways as a sum of consecutive naturals, for example, 17341084 + ... + 17426276.

It is an arithmetic number, because the mean of its divisors is an integer number (18284336280).

Almost surely, 2^{1480967850240} is an apocalyptic number.

1480967850240 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 1480967850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632944424320).

1480967850240 is an abundant number, since it is smaller than the sum of its proper divisors (3784920998400).

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

1480967850240 is an equidigital number, since it uses as much as digits as its factorization.

1480967850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85726 (or 85706 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1480967850240 in words is "one trillion, four hundred eighty billion, nine hundred sixty-seven million, eight hundred fifty thousand, two hundred forty".