1557457440000 has 720 divisors, whose sum is σ = 6457994780160. Its totient is φ = 323619840000.

The previous prime is 1557457439947. The next prime is 1557457440023. The reversal of 1557457440000 is 447547551.

It is a super-3 number, since 3×1557457440000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 36938931 + ... + 36981069.

Almost surely, 2^{1557457440000} is an apocalyptic number.

1557457440000 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 1557457440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228997390080).

1557457440000 is an abundant number, since it is smaller than the sum of its proper divisors (4900537340160).

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

1557457440000 is an equidigital number, since it uses as much as digits as its factorization.

1557457440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42196 (or 42167 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 1557457440000 in words is "one trillion, five hundred fifty-seven billion, four hundred fifty-seven million, four hundred forty thousand".