1480945213440 has 3360 divisors, whose sum is σ = 7289439962112. Its totient is φ = 280284364800.

The previous prime is 1480945213417. The next prime is 1480945213441. The reversal of 1480945213440 is 443125490841.

1480945213440 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 94 + 521 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480945213441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47772426225 + ... + 47772426255.

Almost surely, 2^{1480945213440} is an apocalyptic number.

1480945213440 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 1480945213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644719981056).

1480945213440 is an abundant number, since it is smaller than the sum of its proper divisors (5808494748672).

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

1480945213440 is a wasteful number, since it uses less digits than its factorization.

1480945213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1480945213440 in words is "one trillion, four hundred eighty billion, nine hundred forty-five million, two hundred thirteen thousand, four hundred forty".