1254400400520 has 192 divisors, whose sum is σ = 4179914247600. Its totient is φ = 326060605440.

The previous prime is 1254400400489. The next prime is 1254400400521. The reversal of 1254400400520 is 250040044521.

1254400400520 is a `hidden beast` number, since 1 + 254 + 4 + 0 + 0 + 400 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86016677796 + 1168383722724 = 293286^2 + 1080918^2 .

It is not an unprimeable number, because it can be changed into a prime (1254400400521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16981426 + ... + 17055134.

Almost surely, 2^{1254400400520} is an apocalyptic number.

1254400400520 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 1254400400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089957123800).

1254400400520 is an abundant number, since it is smaller than the sum of its proper divisors (2925513847080).

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

1254400400520 is a wasteful number, since it uses less digits than its factorization.

1254400400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74920 (or 74913 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 1254400400520 in words is "one trillion, two hundred fifty-four billion, four hundred million, four hundred thousand, five hundred twenty".