1354414412250 has 256 divisors, whose sum is σ = 3920219596800. Its totient is φ = 345631104000.

The previous prime is 1354414412231. The next prime is 1354414412269. The reversal of 1354414412250 is 522144144531.

1354414412250 is a `hidden beast` number, since 1 + 3 + 5 + 441 + 44 + 122 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (1354414412231) and next prime (1354414412269).

It is a super-2 number, since 2×1354414412250² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22089135 + ... + 22150365.

It is an arithmetic number, because the mean of its divisors is an integer number (15313357800).

Almost surely, 2^{1354414412250} is an apocalyptic number.

1354414412250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354414412250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960109798400).

1354414412250 is an abundant number, since it is smaller than the sum of its proper divisors (2565805184550).

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

1354414412250 is a wasteful number, since it uses less digits than its factorization.

1354414412250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61399 (or 61383 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1354414412250 its reverse (522144144531), we get a palindrome (1876558556781).

The spelling of 1354414412250 in words is "one trillion, three hundred fifty-four billion, four hundred fourteen million, four hundred twelve thousand, two hundred fifty".