1557734105400 has 384 divisors, whose sum is σ = 5518543219200. Its totient is φ = 359799193600.

The previous prime is 1557734105383. The next prime is 1557734105413. The reversal of 1557734105400 is 45014377551.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38992636 + ... + 39032564.

It is an arithmetic number, because the mean of its divisors is an integer number (14371206300).

Almost surely, 2^{1557734105400} is an apocalyptic number.

1557734105400 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 1557734105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759271609600).

1557734105400 is an abundant number, since it is smaller than the sum of its proper divisors (3960809113800).

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

1557734105400 is a wasteful number, since it uses less digits than its factorization.

1557734105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40239 (or 40230 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 1557734105400 in words is "one trillion, five hundred fifty-seven billion, seven hundred thirty-four million, one hundred five thousand, four hundred".