1000480400334 has 16 divisors (see below), whose sum is σ = 2223289778640. Its totient is φ = 333493466760.

The previous prime is 1000480400333. The next prime is 1000480400383. The reversal of 1000480400334 is 4330040840001.

It is a super-3 number, since 3×1000480400334³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1000480400298 and 1000480400307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000480400333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9263707357 + ... + 9263707464.

It is an arithmetic number, because the mean of its divisors is an integer number (138955611165).

Almost surely, 2^{1000480400334} is an apocalyptic number.

1000480400334 is an abundant number, since it is smaller than the sum of its proper divisors (1222809378306).

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

1000480400334 is a wasteful number, since it uses less digits than its factorization.

1000480400334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18527414832 (or 18527414826 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 1000480400334 in words is "one trillion, four hundred eighty million, four hundred thousand, three hundred thirty-four".