1434054150400 has 81 divisors (see below), whose sum is σ = 3549745232971. Its totient is φ = 573583339520.

The previous prime is 1434054150371. The next prime is 1434054150401. The reversal of 1434054150400 is 40514504341.

The square root of 1434054150400 is 1197520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 869608470784 + 564445679616 = 932528^2 + 751296^2 .

It is a super-2 number, since 2×1434054150400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1434054150401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95794116 + ... + 95809084.

Almost surely, 2^{1434054150400} is an apocalyptic number.

1434054150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1434054150400 is the 1197520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434054150400

1434054150400 is an abundant number, since it is smaller than the sum of its proper divisors (2115691082571).

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

1434054150400 is an frugal number, since it uses more digits than its factorization.

1434054150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29964 (or 14976 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 1434054150400 its reverse (40514504341), we get a palindrome (1474568654741).

The spelling of 1434054150400 in words is "one trillion, four hundred thirty-four billion, fifty-four million, one hundred fifty thousand, four hundred".