1051414998480 has 800 divisors, whose sum is σ = 4565340299520. Its totient is φ = 217873981440.

The previous prime is 1051414998437. The next prime is 1051414998493. The reversal of 1051414998480 is 848994141501.

1051414998480 is a `hidden beast` number, since 1 + 0 + 5 + 14 + 149 + 9 + 8 + 480 = 666.

It is a super-2 number, since 2×1051414998480² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 194092732 + ... + 194098148.

Almost surely, 2^{1051414998480} is an apocalyptic number.

1051414998480 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 1051414998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282670149760).

1051414998480 is an abundant number, since it is smaller than the sum of its proper divisors (3513925301040).

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

1051414998480 is a wasteful number, since it uses less digits than its factorization.

1051414998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1051414998480 in words is "one trillion, fifty-one billion, four hundred fourteen million, nine hundred ninety-eight thousand, four hundred eighty".