1530416410000 has 225 divisors, whose sum is σ = 3774545040981. Its totient is φ = 600933696000.

The previous prime is 1530416409983. The next prime is 1530416410043. The reversal of 1530416410000 is 146140351.

The square root of 1530416410000 is 1237100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1486711998864 + 43704411136 = 1219308^2 + 209056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11010189931 + ... + 11010190069.

Almost surely, 2^{1530416410000} is an apocalyptic number.

1530416410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1530416410000 is the 1237100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530416410000

1530416410000 is an abundant number, since it is smaller than the sum of its proper divisors (2244128630981).

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

1530416410000 is an frugal number, since it uses more digits than its factorization.

1530416410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 1530416410000 by its sum of digits (25), we get a square (38260410250000 = 6185500²).

1530416410000 divided by its sum of digits (25) gives a square (61216656400 = 247420²).

The spelling of 1530416410000 in words is "one trillion, five hundred thirty billion, four hundred sixteen million, four hundred ten thousand".