1248472592640 has 1728 divisors, whose sum is σ = 5627760832512. Its totient is φ = 248433868800.

The previous prime is 1248472592623. The next prime is 1248472592651. The reversal of 1248472592640 is 462952748421.

1248472592640 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 4 + 7 + 2 + 592 + 6 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1332414252 + ... + 1332415188.

Almost surely, 2^{1248472592640} is an apocalyptic number.

1248472592640 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 1248472592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813880416256).

1248472592640 is an abundant number, since it is smaller than the sum of its proper divisors (4379288239872).

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

1248472592640 is a wasteful number, since it uses less digits than its factorization.

1248472592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1248472592640 in words is "one trillion, two hundred forty-eight billion, four hundred seventy-two million, five hundred ninety-two thousand, six hundred forty".