7141281900480 has 2352 divisors, whose sum is σ = 31970460905280. Its totient is φ = 1486876704768.

The previous prime is 7141281900457. The next prime is 7141281900503. The reversal of 7141281900480 is 840091821417.

7141281900480 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 2 + 81 + 90 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (7141281900457) and next prime (7141281900503).

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 335 ways as a sum of consecutive naturals, for example, 31184637006 + ... + 31184637234.

Almost surely, 2^{7141281900480} is an apocalyptic number.

7141281900480 is a gapful number since it is divisible by the number (70) 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 7141281900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985230452640).

7141281900480 is an abundant number, since it is smaller than the sum of its proper divisors (24829179004800).

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

7141281900480 is a wasteful number, since it uses less digits than its factorization.

7141281900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 7141281900480 in words is "seven trillion, one hundred forty-one billion, two hundred eighty-one million, nine hundred thousand, four hundred eighty".