1952004660480 has 432 divisors, whose sum is σ = 7723031481984. Its totient is φ = 445913579520.

The previous prime is 1952004660449. The next prime is 1952004660497. The reversal of 1952004660480 is 840664002591.

1952004660480 is a `hidden beast` number, since 1 + 9 + 520 + 0 + 46 + 6 + 0 + 4 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162161022 + ... + 162173058.

Almost surely, 2^{1952004660480} is an apocalyptic number.

1952004660480 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 1952004660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861515740992).

1952004660480 is an abundant number, since it is smaller than the sum of its proper divisors (5771026821504).

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

1952004660480 is a wasteful number, since it uses less digits than its factorization.

1952004660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1952004660480 in words is "one trillion, nine hundred fifty-two billion, four million, six hundred sixty thousand, four hundred eighty".