1480130388000 has 1536 divisors, whose sum is σ = 6103537090560. Its totient is φ = 345254400000.

The previous prime is 1480130387999. The next prime is 1480130388001. The reversal of 1480130388000 is 8830310841.

1480130388000 is a `hidden beast` number, since 148 + 0 + 130 + 388 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1480130387999) and next prime (1480130388001).

It is a super-3 number, since 3×1480130388000³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1480130388001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6637355889 + ... + 6637356111.

It is an arithmetic number, because the mean of its divisors is an integer number (3973656960).

Almost surely, 2^{1480130388000} is an apocalyptic number.

1480130388000 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 1480130388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051768545280).

1480130388000 is an abundant number, since it is smaller than the sum of its proper divisors (4623406702560).

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

1480130388000 is a wasteful number, since it uses less digits than its factorization.

1480130388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 1480130388000 its reverse (8830310841), we get a palindrome (1488960698841).

The spelling of 1480130388000 in words is "one trillion, four hundred eighty billion, one hundred thirty million, three hundred eighty-eight thousand".