1294758650640 has 320 divisors, whose sum is σ = 4961223461376. Its totient is φ = 272006332416.

The previous prime is 1294758650617. The next prime is 1294758650657. The reversal of 1294758650640 is 460568574921.

It is a super-2 number, since 2×1294758650640² (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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4961502 + ... + 5215938.

Almost surely, 2^{1294758650640} is an apocalyptic number.

1294758650640 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 1294758650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480611730688).

1294758650640 is an abundant number, since it is smaller than the sum of its proper divisors (3666464810736).

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

1294758650640 is a wasteful number, since it uses less digits than its factorization.

1294758650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254706 (or 254700 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 1294758650640 in words is "one trillion, two hundred ninety-four billion, seven hundred fifty-eight million, six hundred fifty thousand, six hundred forty".