1493528410000 has 375 divisors, whose sum is σ = 4017326750965. Its totient is φ = 537724000000.

The previous prime is 1493528409983. The next prime is 1493528410007. The reversal of 1493528410000 is 148253941.

The square root of 1493528410000 is 1222100.

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 322319623824 + 1171208786176 = 567732^2 + 1082224^2 .

It is a super-2 number, since 2×1493528410000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1493528410007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 14787409950 + ... + 14787410050.

Almost surely, 2^{1493528410000} is an apocalyptic number.

1493528410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1493528410000 is the 1222100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493528410000

1493528410000 is an abundant number, since it is smaller than the sum of its proper divisors (2523798340965).

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

1493528410000 is an frugal number, since it uses more digits than its factorization.

1493528410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1493528410000 in words is "one trillion, four hundred ninety-three billion, five hundred twenty-eight million, four hundred ten thousand".