1451263465260 has 720 divisors, whose sum is σ = 5240787342336. Its totient is φ = 325010423808.

The previous prime is 1451263465247. The next prime is 1451263465313. The reversal of 1451263465260 is 625643621541.

1451263465260 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 634 + 6 + 5 + 2 + 6 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7519499724 + ... + 7519499916.

Almost surely, 2^{1451263465260} is an apocalyptic number.

1451263465260 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 1451263465260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620393671168).

1451263465260 is an abundant number, since it is smaller than the sum of its proper divisors (3789523877076).

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

1451263465260 is a wasteful number, since it uses less digits than its factorization.

1451263465260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1451263465260 in words is "one trillion, four hundred fifty-one billion, two hundred sixty-three million, four hundred sixty-five thousand, two hundred sixty".