1412259287040 has 2080 divisors, whose sum is σ = 6291096894720. Its totient is φ = 295827406848.

The previous prime is 1412259287027. The next prime is 1412259287099. The reversal of 1412259287040 is 407829522141.

1412259287040 is a `hidden beast` number, since 1 + 4 + 12 + 2 + 592 + 8 + 7 + 0 + 40 = 666.

It is a super-2 number, since 2×1412259287040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 8163348394 + ... + 8163348566.

Almost surely, 2^{1412259287040} is an apocalyptic number.

1412259287040 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 1412259287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145548447360).

1412259287040 is an abundant number, since it is smaller than the sum of its proper divisors (4878837607680).

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

1412259287040 is a wasteful number, since it uses less digits than its factorization.

1412259287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1412259287040 in words is "one trillion, four hundred twelve billion, two hundred fifty-nine million, two hundred eighty-seven thousand, forty".