1357498448640 has 576 divisors, whose sum is σ = 5322419020800. Its totient is φ = 325888966656.

The previous prime is 1357498448633. The next prime is 1357498448641. The reversal of 1357498448640 is 468448947531.

1357498448640 is a `hidden beast` number, since 1 + 3 + 5 + 74 + 9 + 84 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1357498448641) by changing a digit.

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, 13462731 + ... + 13563189.

It is an arithmetic number, because the mean of its divisors is an integer number (9240310800).

Almost surely, 2^{1357498448640} is an apocalyptic number.

1357498448640 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 1357498448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661209510400).

1357498448640 is an abundant number, since it is smaller than the sum of its proper divisors (3964920572160).

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

1357498448640 is a wasteful number, since it uses less digits than its factorization.

1357498448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100529 (or 100509 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 1357498448640 in words is "one trillion, three hundred fifty-seven billion, four hundred ninety-eight million, four hundred forty-eight thousand, six hundred forty".