1357640450496 has 280 divisors, whose sum is σ = 4392886840320. Its totient is φ = 411166886400.

The previous prime is 1357640450429. The next prime is 1357640450497. The reversal of 1357640450496 is 6940540467531.

It is a happy number.

1357640450496 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 6 + 40 + 4 + 504 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357640450497) 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 39 ways as a sum of consecutive naturals, for example, 114669345 + ... + 114681183.

Almost surely, 2^{1357640450496} is an apocalyptic number.

1357640450496 is a gapful number since it is divisible by the number (16) 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 1357640450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196443420160).

1357640450496 is an abundant number, since it is smaller than the sum of its proper divisors (3035246389824).

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

1357640450496 is a wasteful number, since it uses less digits than its factorization.

1357640450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1357640450496 in words is "one trillion, three hundred fifty-seven billion, six hundred forty million, four hundred fifty thousand, four hundred ninety-six".