1480030755840 has 880 divisors, whose sum is σ = 6527666050752. Its totient is φ = 312262262784.

The previous prime is 1480030755793. The next prime is 1480030755859. The reversal of 1480030755840 is 485570300841.

1480030755840 is a `hidden beast` number, since 14 + 80 + 0 + 3 + 0 + 7 + 558 + 4 + 0 = 666.

It is a super-3 number, since 3×1480030755840³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37719912 + ... + 37759128.

Almost surely, 2^{1480030755840} is an apocalyptic number.

1480030755840 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 1480030755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263833025376).

1480030755840 is an abundant number, since it is smaller than the sum of its proper divisors (5047635294912).

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

1480030755840 is a wasteful number, since it uses less digits than its factorization.

1480030755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39274 (or 39247 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1480030755840 in words is "one trillion, four hundred eighty billion, thirty million, seven hundred fifty-five thousand, eight hundred forty".