1272417040 has 40 divisors (see below), whose sum is σ = 3086998848. Its totient is φ = 486837120.

The previous prime is 1272417031. The next prime is 1272417077. The reversal of 1272417040 is 407142721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1272417040³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343926 + ... + 347605.

Almost surely, 2^1272417040 is an apocalyptic number.

1272417040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272417040 is an abundant number, since it is smaller than the sum of its proper divisors (1814581808).

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

1272417040 is a wasteful number, since it uses less digits than its factorization.

1272417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691567 (or 691561 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 1272417040 is about 35670.9551315913. The cubic root of 1272417040 is about 1083.6187027838.

Adding to 1272417040 its reverse (407142721), we get a palindrome (1679559761).

The spelling of 1272417040 in words is "one billion, two hundred seventy-two million, four hundred seventeen thousand, forty".