1430138541456 has 135 divisors (see below), whose sum is σ = 4157255294283. Its totient is φ = 476583691680.

The previous prime is 1430138541397. The next prime is 1430138541463. The reversal of 1430138541456 is 6541458310341.

It is a happy number.

The square root of 1430138541456 is 1195884.

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

1430138541456 is a `hidden beast` number, since 1 + 4 + 30 + 1 + 38 + 541 + 45 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 387464571 + ... + 387468261.

Almost surely, 2^{1430138541456} is an apocalyptic number.

1430138541456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1430138541456 is the 1195884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430138541456

1430138541456 is an abundant number, since it is smaller than the sum of its proper divisors (2727116752827).

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

1430138541456 is an frugal number, since it uses more digits than its factorization.

1430138541456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1430138541456 in words is "one trillion, four hundred thirty billion, one hundred thirty-eight million, five hundred forty-one thousand, four hundred fifty-six".